5057676000 has 576 divisors, whose sum is σ = 19704275136. Its totient is φ = 1221120000.

The previous prime is 5057675999. The next prime is 5057676031. The reversal of 5057676000 is 6767505.

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, 47267947 + ... + 47268053.

It is an arithmetic number, because the mean of its divisors is an integer number (34208811).

Almost surely, 2^5057676000 is an apocalyptic number.

5057676000 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 5057676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9852137568).

5057676000 is an abundant number, since it is smaller than the sum of its proper divisors (14646599136).

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

5057676000 is a wasteful number, since it uses less digits than its factorization.

5057676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5057676000 is about 71117.3396577797. The cubic root of 5057676000 is about 1716.5257977640.

The spelling of 5057676000 in words is "five billion, fifty-seven million, six hundred seventy-six thousand".