36007561152 has 196 divisors, whose sum is σ = 107389742040. Its totient is φ = 11973422592.

The previous prime is 36007561133. The next prime is 36007561193. The reversal of 36007561152 is 25116570063.

36007561152 is a `hidden beast` number, since 36 + 0 + 0 + 7 + 5 + 611 + 5 + 2 = 666.

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 27 ways as a sum of consecutive naturals, for example, 28599499 + ... + 28600757.

Almost surely, 2^36007561152 is an apocalyptic number.

36007561152 is a gapful number since it is divisible by the number (32) 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 36007561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53694871020).

36007561152 is an abundant number, since it is smaller than the sum of its proper divisors (71382180888).

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

36007561152 is an equidigital number, since it uses as much as digits as its factorization.

36007561152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 36007561152 in words is "thirty-six billion, seven million, five hundred sixty-one thousand, one hundred fifty-two".