36115968430080 has 4992 divisors, whose sum is σ = 174098866765824. Its totient is φ = 6703467724800.

The previous prime is 36115968430067. The next prime is 36115968430151. The reversal of 36115968430080 is 8003486951163.

36115968430080 is a `hidden beast` number, since 3 + 6 + 1 + 1 + 596 + 8 + 43 + 0 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36115968429999 and 36115968430026.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 435132149719 + ... + 435132149801.

It is an arithmetic number, because the mean of its divisors is an integer number (34875574272).

Almost surely, 2^{36115968430080} is an apocalyptic number.

36115968430080 is a gapful number since it is divisible by the number (30) 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 36115968430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87049433382912).

36115968430080 is an abundant number, since it is smaller than the sum of its proper divisors (137982898335744).

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

36115968430080 is a wasteful number, since it uses less digits than its factorization.

36115968430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 36115968430080 in words is "thirty-six trillion, one hundred fifteen billion, nine hundred sixty-eight million, four hundred thirty thousand, eighty".