56670142400 has 168 divisors, whose sum is σ = 141615779760. Its totient is φ = 22317015040.

The previous prime is 56670142369. The next prime is 56670142409. The reversal of 56670142400 is 424107665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56670142409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51658652 + ... + 51659748.

It is an arithmetic number, because the mean of its divisors is an integer number (842951070).

Almost surely, 2^56670142400 is an apocalyptic number.

56670142400 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 56670142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70807889880).

56670142400 is an abundant number, since it is smaller than the sum of its proper divisors (84945637360).

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

56670142400 is a wasteful number, since it uses less digits than its factorization.

56670142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 56670142400 in words is "fifty-six billion, six hundred seventy million, one hundred forty-two thousand, four hundred".