56409370920000 has 560 divisors, whose sum is σ = 236828657070720. Its totient is φ = 12893568768000.

The previous prime is 56409370919999. The next prime is 56409370920011. The reversal of 56409370920000 is 2907390465.

It is a happy number.

56409370920000 is a `hidden beast` number, since 5 + 6 + 409 + 37 + 0 + 9 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3829222 + ... + 11290778.

Almost surely, 2^{56409370920000} is an apocalyptic number.

56409370920000 is a gapful number since it is divisible by the number (50) 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 56409370920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118414328535360).

56409370920000 is an abundant number, since it is smaller than the sum of its proper divisors (180419286150720).

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

56409370920000 is an equidigital number, since it uses as much as digits as its factorization.

56409370920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7461605 (or 7461574 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 56409370920000 in words is "fifty-six trillion, four hundred nine billion, three hundred seventy million, nine hundred twenty thousand".