56214400000 has 264 divisors, whose sum is σ = 153323280432. Its totient is φ = 20428800000.

The previous prime is 56214399991. The next prime is 56214400037. The reversal of 56214400000 is 441265.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35199202 + ... + 35200798.

Almost surely, 2^56214400000 is an apocalyptic number.

56214400000 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 56214400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76661640216).

56214400000 is an abundant number, since it is smaller than the sum of its proper divisors (97108880432).

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

56214400000 is an equidigital number, since it uses as much as digits as its factorization.

56214400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 56214400000 its reverse (441265), we get a palindrome (56214841265).

The spelling of 56214400000 in words is "fifty-six billion, two hundred fourteen million, four hundred thousand".