56955156480 has 576 divisors, whose sum is σ = 209492075520. Its totient is φ = 14834368512.

The previous prime is 56955156451. The next prime is 56955156481. The reversal of 56955156480 is 8465155965.

56955156480 is a `hidden beast` number, since 5 + 6 + 9 + 5 + 5 + 156 + 480 = 666.

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

It is a super-3 number, since 3×56955156480³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56955156481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116950797 + ... + 116951283.

It is an arithmetic number, because the mean of its divisors is an integer number (363701520).

Almost surely, 2^56955156480 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 56955156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104746037760).

56955156480 is an abundant number, since it is smaller than the sum of its proper divisors (152536919040).

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

56955156480 is an equidigital number, since it uses as much as digits as its factorization.

56955156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 56955156480 in words is "fifty-six billion, nine hundred fifty-five million, one hundred fifty-six thousand, four hundred eighty".