60956671104 has 576 divisors, whose sum is σ = 220397112000. Its totient is φ = 16074584064.

The previous prime is 60956671091. The next prime is 60956671117. The reversal of 60956671104 is 40117665906.

60956671104 is a `hidden beast` number, since 6 + 0 + 9 + 566 + 71 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (60956671091) and next prime (60956671117).

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 60956671104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37650007 + ... + 37651625.

It is an arithmetic number, because the mean of its divisors is an integer number (382633875).

Almost surely, 2^60956671104 is an apocalyptic number.

60956671104 is a gapful number since it is divisible by the number (64) 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 60956671104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110198556000).

60956671104 is an abundant number, since it is smaller than the sum of its proper divisors (159440440896).

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

60956671104 is a wasteful number, since it uses less digits than its factorization.

60956671104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 60956671104 in words is "sixty billion, nine hundred fifty-six million, six hundred seventy-one thousand, one hundred four".