961157981952 has 1152 divisors, whose sum is σ = 3654475776000. Its totient is φ = 242879938560.

The previous prime is 961157981947. The next prime is 961157981977. The reversal of 961157981952 is 259189751169.

961157981952 is a `hidden beast` number, since 9 + 6 + 1 + 1 + 579 + 8 + 1 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 961157981952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 826446523 + ... + 826447685.

It is an arithmetic number, because the mean of its divisors is an integer number (3172288000).

Almost surely, 2^961157981952 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 961157981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827237888000).

961157981952 is an abundant number, since it is smaller than the sum of its proper divisors (2693317794048).

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

961157981952 is a wasteful number, since it uses less digits than its factorization.

961157981952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1254 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 63.

The spelling of 961157981952 in words is "nine hundred sixty-one billion, one hundred fifty-seven million, nine hundred eighty-one thousand, nine hundred fifty-two".