56523201408 has 384 divisors, whose sum is σ = 178694208000. Its totient is φ = 17578294272.

The previous prime is 56523201407. The next prime is 56523201421. The reversal of 56523201408 is 80410232565.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56523201401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78613273 + ... + 78613991.

It is an arithmetic number, because the mean of its divisors is an integer number (465349500).

Almost surely, 2^56523201408 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 56523201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89347104000).

56523201408 is an abundant number, since it is smaller than the sum of its proper divisors (122171006592).

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

56523201408 is a wasteful number, since it uses less digits than its factorization.

56523201408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 56523201408 in words is "fifty-six billion, five hundred twenty-three million, two hundred one thousand, four hundred eight".