5157734400 has 1152 divisors, whose sum is σ = 23885971200. Its totient is φ = 1061683200.

The previous prime is 5157734369. The next prime is 5157734453. The reversal of 5157734400 is 44377515.

It is a happy number.

5157734400 is a `hidden beast` number, since 51 + 577 + 34 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 125798380 + ... + 125798420.

It is an arithmetic number, because the mean of its divisors is an integer number (20734350).

Almost surely, 2^5157734400 is an apocalyptic number.

5157734400 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 5157734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11942985600).

5157734400 is an abundant number, since it is smaller than the sum of its proper divisors (18728236800).

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

5157734400 is a wasteful number, since it uses less digits than its factorization.

5157734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5157734400 is about 71817.3683728386. The cubic root of 5157734400 is about 1727.7715747439.

The spelling of 5157734400 in words is "five billion, one hundred fifty-seven million, seven hundred thirty-four thousand, four hundred".