5170400400 has 240 divisors, whose sum is σ = 19131864768. Its totient is φ = 1179648000.

The previous prime is 5170400399. The next prime is 5170400429. The reversal of 5170400400 is 40040715.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212880 + ... + 235920.

Almost surely, 2^5170400400 is an apocalyptic number.

5170400400 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 5170400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565932384).

5170400400 is an abundant number, since it is smaller than the sum of its proper divisors (13961464368).

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

5170400400 is a wasteful number, since it uses less digits than its factorization.

5170400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23090 (or 23079 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 5170400400 is about 71905.4963128689. The cubic root of 5170400400 is about 1729.1847317479.

The spelling of 5170400400 in words is "five billion, one hundred seventy million, four hundred thousand, four hundred".