5097556800 has 504 divisors, whose sum is σ = 21484555456. Its totient is φ = 1164533760.

The previous prime is 5097556781. The next prime is 5097556813. The reversal of 5097556800 is 86557905.

5097556800 is a `hidden beast` number, since 5 + 0 + 97 + 556 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2720664 + ... + 2722536.

Almost surely, 2^5097556800 is an apocalyptic number.

5097556800 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 5097556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10742277728).

5097556800 is an abundant number, since it is smaller than the sum of its proper divisors (16386998656).

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

5097556800 is a wasteful number, since it uses less digits than its factorization.

5097556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 5097556800 is about 71397.1764147575. The cubic root of 5097556800 is about 1721.0257087385.

The spelling of 5097556800 in words is "five billion, ninety-seven million, five hundred fifty-six thousand, eight hundred".