61207417152 has 672 divisors, whose sum is σ = 220737623040. Its totient is φ = 16287298560.

The previous prime is 61207417147. The next prime is 61207417189. The reversal of 61207417152 is 25171470216.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×61207417152² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 467232127 + ... + 467232257.

Almost surely, 2^61207417152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61207417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110368811520).

61207417152 is an abundant number, since it is smaller than the sum of its proper divisors (159530205888).

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

61207417152 is a wasteful number, since it uses less digits than its factorization.

61207417152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 61207417152 its reverse (25171470216), we get a palindrome (86378887368).

The spelling of 61207417152 in words is "sixty-one billion, two hundred seven million, four hundred seventeen thousand, one hundred fifty-two".