5023972800 has 1008 divisors, whose sum is σ = 23348362752. Its totient is φ = 993484800.

The previous prime is 5023972729. The next prime is 5023972831. The reversal of 5023972800 is 82793205.

It is a happy number.

5023972800 is a `hidden beast` number, since 502 + 3 + 9 + 72 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25502302 + ... + 25502498.

Almost surely, 2^5023972800 is an apocalyptic number.

5023972800 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 5023972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11674181376).

5023972800 is an abundant number, since it is smaller than the sum of its proper divisors (18324389952).

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

5023972800 is a wasteful number, since it uses less digits than its factorization.

5023972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5023972800 is about 70879.9887133174. The cubic root of 5023972800 is about 1712.7044514101.

The spelling of 5023972800 in words is "five billion, twenty-three million, nine hundred seventy-two thousand, eight hundred".