61960056960 has 128 divisors (see below), whose sum is σ = 206084684160. Its totient is φ = 15804293120.

The previous prime is 61960056959. The next prime is 61960056967. The reversal of 61960056960 is 6965006916.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (61960056967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657381 + ... + 745700.

It is an arithmetic number, because the mean of its divisors is an integer number (1610036595).

Almost surely, 2^61960056960 is an apocalyptic number.

61960056960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61960056960 is an abundant number, since it is smaller than the sum of its proper divisors (144124627200).

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

61960056960 is a wasteful number, since it uses less digits than its factorization.

61960056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403126 (or 1403114 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 61960056960 in words is "sixty-one billion, nine hundred sixty million, fifty-six thousand, nine hundred sixty".