5153702400 has 1080 divisors, whose sum is σ = 23687327664. Its totient is φ = 1057996800.

The previous prime is 5153702387. The next prime is 5153702413. The reversal of 5153702400 is 42073515.

It is a happy number.

5153702400 is a `hidden beast` number, since 51 + 5 + 370 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5153702387) and next prime (5153702413).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 62092759 + ... + 62092841.

Almost surely, 2^5153702400 is an apocalyptic number.

5153702400 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 5153702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11843663832).

5153702400 is an abundant number, since it is smaller than the sum of its proper divisors (18533625264).

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

5153702400 is a wasteful number, since it uses less digits than its factorization.

5153702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5153702400 is about 71789.2916805842. The cubic root of 5153702400 is about 1727.3212354714.

Adding to 5153702400 its reverse (42073515), we get a palindrome (5195775915).

The spelling of 5153702400 in words is "five billion, one hundred fifty-three million, seven hundred two thousand, four hundred".