5100564000 has 384 divisors, whose sum is σ = 19575489024. Its totient is φ = 1136640000.

The previous prime is 5100563999. The next prime is 5100564047. The reversal of 5100564000 is 4650015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3443260 + ... + 3444740.

It is an arithmetic number, because the mean of its divisors is an integer number (50977836).

Almost surely, 2^5100564000 is an apocalyptic number.

5100564000 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 5100564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9787744512).

5100564000 is an abundant number, since it is smaller than the sum of its proper divisors (14474925024).

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

5100564000 is a wasteful number, since it uses less digits than its factorization.

5100564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5100564000 is about 71418.2329660991. The cubic root of 5100564000 is about 1721.3640702535.

The spelling of 5100564000 in words is "five billion, one hundred million, five hundred sixty-four thousand".