961896108802500 has 525 divisors, whose sum is σ = 3220782886288429. Its totient is φ = 250249394160000.

The previous prime is 961896108802427. The next prime is 961896108802567. The reversal of 961896108802500 is 5208801698169.

The square root of 961896108802500 is 31014450.

It is a perfect power (a square), and thus also a powerful number.

961896108802500 is a `hidden beast` number, since 9 + 6 + 1 + 8 + 9 + 610 + 8 + 8 + 0 + 2 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 17 ways, for example, as 829457625693636 + 132438483108864 = 28800306^2 + 11508192^2 .

It is a Duffinian number.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 126075 × 75645 × 100860.

It is an unprimeable number.

It is a polite number, since it can be written in 174 ways as a sum of consecutive naturals, for example, 23460880702480 + ... + 23460880702520.

Almost surely, 2^{961896108802500} is an apocalyptic number.

961896108802500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

961896108802500 is the 31014450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961896108802500

961896108802500 is an abundant number, since it is smaller than the sum of its proper divisors (2258886777485929).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

961896108802500 is an frugal number, since it uses more digits than its factorization.

961896108802500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 961896108802500 in words is "nine hundred sixty-one trillion, eight hundred ninety-six billion, one hundred eight million, eight hundred two thousand, five hundred".