5072848934400 has 1080 divisors, whose sum is σ = 19956771446040. Its totient is φ = 1229747650560.

The previous prime is 5072848934393. The next prime is 5072848934407. The reversal of 5072848934400 is 44398482705.

5072848934400 is a `hidden beast` number, since 5 + 0 + 72 + 8 + 48 + 93 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5072848934393) and next prime (5072848934407).

It is a super-2 number, since 2×5072848934400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5072848934407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1304407656 + ... + 1304411544.

Almost surely, 2^{5072848934400} is an apocalyptic number.

5072848934400 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 5072848934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9978385723020).

5072848934400 is an abundant number, since it is smaller than the sum of its proper divisors (14883922511640).

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

5072848934400 is a wasteful number, since it uses less digits than its factorization.

5072848934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 5072848934400 in words is "five trillion, seventy-two billion, eight hundred forty-eight million, nine hundred thirty-four thousand, four hundred".