5236697768400 has 960 divisors, whose sum is σ = 22924560591360. Its totient is φ = 1108065484800.

The previous prime is 5236697768359. The next prime is 5236697768411. The reversal of 5236697768400 is 48677966325.

5236697768400 is a `hidden beast` number, since 5 + 23 + 66 + 97 + 7 + 68 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78363802 + ... + 78430598.

It is an arithmetic number, because the mean of its divisors is an integer number (23879750616).

Almost surely, 2^{5236697768400} is an apocalyptic number.

5236697768400 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 5236697768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11462280295680).

5236697768400 is an abundant number, since it is smaller than the sum of its proper divisors (17687862822960).

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

5236697768400 is a wasteful number, since it uses less digits than its factorization.

5236697768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66909 (or 66892 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 5236697768400 in words is "five trillion, two hundred thirty-six billion, six hundred ninety-seven million, seven hundred sixty-eight thousand, four hundred".