536160038400 has 960 divisors, whose sum is σ = 2295513792000. Its totient is φ = 122523770880.

The previous prime is 536160038371. The next prime is 536160038419. The reversal of 536160038400 is 4830061635.

536160038400 is a `hidden beast` number, since 5 + 3 + 6 + 1 + 600 + 3 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 118538539 + ... + 118543061.

It is an arithmetic number, because the mean of its divisors is an integer number (2391160200).

Almost surely, 2^536160038400 is an apocalyptic number.

536160038400 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 536160038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147756896000).

536160038400 is an abundant number, since it is smaller than the sum of its proper divisors (1759353753600).

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

536160038400 is an equidigital number, since it uses as much as digits as its factorization.

536160038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4581 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 536160038400 in words is "five hundred thirty-six billion, one hundred sixty million, thirty-eight thousand, four hundred".