5060102400 has 540 divisors, whose sum is σ = 19228946352. Its totient is φ = 1312174080.

The previous prime is 5060102329. The next prime is 5060102407. The reversal of 5060102400 is 42010605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5060102407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22291087 + ... + 22291313.

Almost surely, 2^5060102400 is an apocalyptic number.

5060102400 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 5060102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9614473176).

5060102400 is an abundant number, since it is smaller than the sum of its proper divisors (14168843952).

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

5060102400 is a wasteful number, since it uses less digits than its factorization.

5060102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5060102400 is about 71134.3967430666. The cubic root of 5060102400 is about 1716.8002526934.

The spelling of 5060102400 in words is "five billion, sixty million, one hundred two thousand, four hundred".