536253981120 has 1680 divisors, whose sum is σ = 2332518819840. Its totient is φ = 115806412800.

The previous prime is 536253981101. The next prime is 536253981181. The reversal of 536253981120 is 21189352635.

536253981120 is a `hidden beast` number, since 5 + 3 + 625 + 3 + 9 + 8 + 1 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1493743501 + ... + 1493743859.

Almost surely, 2^536253981120 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 536253981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166259409920).

536253981120 is an abundant number, since it is smaller than the sum of its proper divisors (1796264838720).

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

536253981120 is a wasteful number, since it uses less digits than its factorization.

536253981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 536253981120 in words is "five hundred thirty-six billion, two hundred fifty-three million, nine hundred eighty-one thousand, one hundred twenty".