536807513088 has 1056 divisors, whose sum is σ = 2028858012160. Its totient is φ = 138937835520.

The previous prime is 536807513083. The next prime is 536807513107. The reversal of 536807513088 is 880315708635.

536807513088 is a `hidden beast` number, since 5 + 368 + 0 + 75 + 130 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×536807513088² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536807513083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1896846195 + ... + 1896846477.

Almost surely, 2^536807513088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536807513088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014429006080).

536807513088 is an abundant number, since it is smaller than the sum of its proper divisors (1492050499072).

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

536807513088 is an equidigital number, since it uses as much as digits as its factorization.

536807513088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 536807513088 in words is "five hundred thirty-six billion, eight hundred seven million, five hundred thirteen thousand, eighty-eight".