5257670400 has 324 divisors, whose sum is σ = 19313220472. Its totient is φ = 1363599360.

The previous prime is 5257670389. The next prime is 5257670423. The reversal of 5257670400 is 40767525.

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 35 ways as a sum of consecutive naturals, for example, 2129967 + ... + 2132433.

Almost surely, 2^5257670400 is an apocalyptic number.

5257670400 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 5257670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9656610236).

5257670400 is an abundant number, since it is smaller than the sum of its proper divisors (14055550072).

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

5257670400 is a wasteful number, since it uses less digits than its factorization.

5257670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2514 counting only the distinct ones).

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

The square root of 5257670400 is about 72509.7952003728. The cubic root of 5257670400 is about 1738.8593395990.

The spelling of 5257670400 in words is "five billion, two hundred fifty-seven million, six hundred seventy thousand, four hundred".