10191959280 has 240 divisors, whose sum is σ = 35543439360. Its totient is φ = 2614464000.

The previous prime is 10191959279. The next prime is 10191959299. The reversal of 10191959280 is 8295919101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3994005 + ... + 3996555.

It is an arithmetic number, because the mean of its divisors is an integer number (148097664).

Almost surely, 2^10191959280 is an apocalyptic number.

10191959280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10191959280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17771719680).

10191959280 is an abundant number, since it is smaller than the sum of its proper divisors (25351480080).

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

10191959280 is a wasteful number, since it uses less digits than its factorization.

10191959280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The spelling of 10191959280 in words is "ten billion, one hundred ninety-one million, nine hundred fifty-nine thousand, two hundred eighty".