61059955879296 has 1152 divisors, whose sum is σ = 207462279024000. Its totient is φ = 17046991503360.

The previous prime is 61059955879187. The next prime is 61059955879301. The reversal of 61059955879296 is 69297855995016.

61059955879296 is a `hidden beast` number, since 6 + 1 + 0 + 5 + 9 + 9 + 5 + 587 + 9 + 29 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92655471415 + ... + 92655472073.

It is an arithmetic number, because the mean of its divisors is an integer number (180088783875).

Almost surely, 2^{61059955879296} is an apocalyptic number.

61059955879296 is a gapful number since it is divisible by the number (66) 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 61059955879296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103731139512000).

61059955879296 is an abundant number, since it is smaller than the sum of its proper divisors (146402323144704).

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

61059955879296 is a wasteful number, since it uses less digits than its factorization.

61059955879296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 3306744000, while the sum is 81.

The spelling of 61059955879296 in words is "sixty-one trillion, fifty-nine billion, nine hundred fifty-five million, eight hundred seventy-nine thousand, two hundred ninety-six".