56951102208 has 864 divisors, whose sum is σ = 218438519040. Its totient is φ = 12912721920.

The previous prime is 56951102177. The next prime is 56951102209. The reversal of 56951102208 is 80220115965.

It is a super-3 number, since 3×56951102208³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (56951102209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102245866 + ... + 102246422.

It is an arithmetic number, because the mean of its divisors is an integer number (252822360).

Almost surely, 2^56951102208 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 56951102208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109219259520).

56951102208 is an abundant number, since it is smaller than the sum of its proper divisors (161487416832).

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

56951102208 is a wasteful number, since it uses less digits than its factorization.

56951102208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 56951102208 in words is "fifty-six billion, nine hundred fifty-one million, one hundred two thousand, two hundred eight".