61953196032 has 960 divisors, whose sum is σ = 240745702400. Its totient is φ = 15479341056.

The previous prime is 61953196003. The next prime is 61953196057. The reversal of 61953196032 is 23069135916.

61953196032 is a `hidden beast` number, since 6 + 1 + 9 + 5 + 31 + 9 + 603 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 3260694519 + ... + 3260694537.

Almost surely, 2^61953196032 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 61953196032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120372851200).

61953196032 is an abundant number, since it is smaller than the sum of its proper divisors (178792506368).

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

61953196032 is an frugal number, since it uses more digits than its factorization.

61953196032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 61953196032 in words is "sixty-one billion, nine hundred fifty-three million, one hundred ninety-six thousand, thirty-two".