56956667040 has 864 divisors, whose sum is σ = 251469743616. Its totient is φ = 11623772160.

The previous prime is 56956666999. The next prime is 56956667057. The reversal of 56956667040 is 4076665965.

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, 28434679 + ... + 28436681.

It is an arithmetic number, because the mean of its divisors is an integer number (291052944).

Almost surely, 2^56956667040 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 56956667040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125734871808).

56956667040 is an abundant number, since it is smaller than the sum of its proper divisors (194513076576).

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

56956667040 is a wasteful number, since it uses less digits than its factorization.

56956667040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 56956667040 in words is "fifty-six billion, nine hundred fifty-six million, six hundred sixty-seven thousand, forty".