5057769600 has 960 divisors, whose sum is σ = 21425712000. Its totient is φ = 1164533760.

The previous prime is 5057769583. The next prime is 5057769617. The reversal of 5057769600 is 69677505.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5057769583) and next prime (5057769617).

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 64022361 + ... + 64022439.

It is an arithmetic number, because the mean of its divisors is an integer number (22318450).

Almost surely, 2^5057769600 is an apocalyptic number.

5057769600 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 5057769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10712856000).

5057769600 is an abundant number, since it is smaller than the sum of its proper divisors (16367942400).

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

5057769600 is a wasteful number, since it uses less digits than its factorization.

5057769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 5057769600 is about 71117.9977220956. The cubic root of 5057769600 is about 1716.5363866737.

The spelling of 5057769600 in words is "five billion, fifty-seven million, seven hundred sixty-nine thousand, six hundred".