56451384000 has 896 divisors, whose sum is σ = 235994204160. Its totient is φ = 13077504000.

The previous prime is 56451383983. The next prime is 56451384013. The reversal of 56451384000 is 48315465.

It is a happy number.

56451384000 is a `hidden beast` number, since 5 + 64 + 513 + 84 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54647484 + ... + 54648516.

Almost surely, 2^56451384000 is an apocalyptic number.

56451384000 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 56451384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117997102080).

56451384000 is an abundant number, since it is smaller than the sum of its proper divisors (179542820160).

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

56451384000 is a wasteful number, since it uses less digits than its factorization.

56451384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1077 counting only the distinct ones).

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

Adding to 56451384000 its reverse (48315465), we get a palindrome (56499699465).

The spelling of 56451384000 in words is "fifty-six billion, four hundred fifty-one million, three hundred eighty-four thousand".