5112892800 has 576 divisors, whose sum is σ = 20153955600. Its totient is φ = 1261486080.

The previous prime is 5112892793. The next prime is 5112892849. The reversal of 5112892800 is 82982115.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5112892800² = 52283345568583680000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 86659171 + ... + 86659229.

Almost surely, 2^5112892800 is an apocalyptic number.

5112892800 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 5112892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10076977800).

5112892800 is an abundant number, since it is smaller than the sum of its proper divisors (15041062800).

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

5112892800 is a wasteful number, since it uses less digits than its factorization.

5112892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 5112892800 is about 71504.4949636035. The cubic root of 5112892800 is about 1722.7498828231.

It can be divided in two parts, 511289 and 2800, that added together give a square (514089 = 717²).

The spelling of 5112892800 in words is "five billion, one hundred twelve million, eight hundred ninety-two thousand, eight hundred".