5121656400 has 180 divisors, whose sum is σ = 19085183232. Its totient is φ = 1170650880.

The previous prime is 5121656377. The next prime is 5121656437. The reversal of 5121656400 is 46561215.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15249 + ... + 102351.

Almost surely, 2^5121656400 is an apocalyptic number.

5121656400 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 5121656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9542591616).

5121656400 is an abundant number, since it is smaller than the sum of its proper divisors (13963526832).

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

5121656400 is a wasteful number, since it uses less digits than its factorization.

5121656400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87138 (or 87120 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 5121656400 is about 71565.7487908846. The cubic root of 5121656400 is about 1723.7335968618.

The spelling of 5121656400 in words is "five billion, one hundred twenty-one million, six hundred fifty-six thousand, four hundred".