5072117436800 has 96 divisors (see below), whose sum is σ = 12546584668080. Its totient is φ = 2026115409920.

The previous prime is 5072117436787. The next prime is 5072117436821. The reversal of 5072117436800 is 86347112705.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1310954 + ... + 3444246.

Almost surely, 2^{5072117436800} is an apocalyptic number.

5072117436800 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 5072117436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273292334040).

5072117436800 is an abundant number, since it is smaller than the sum of its proper divisors (7474467231280).

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

5072117436800 is a wasteful number, since it uses less digits than its factorization.

5072117436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134060 (or 2134043 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 5072117436800 in words is "five trillion, seventy-two billion, one hundred seventeen million, four hundred thirty-six thousand, eight hundred".