36123057561600 has 1680 divisors, whose sum is σ = 138259575070848. Its totient is φ = 9318181109760.

The previous prime is 36123057561581. The next prime is 36123057561601. The reversal of 36123057561600 is 616575032163.

36123057561600 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 30 + 5 + 7 + 5 + 6 + 1 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36123057561601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 83425074984 + ... + 83425075416.

Almost surely, 2^{36123057561600} is an apocalyptic number.

36123057561600 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 36123057561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69129787535424).

36123057561600 is an abundant number, since it is smaller than the sum of its proper divisors (102136517509248).

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

36123057561600 is a wasteful number, since it uses less digits than its factorization.

36123057561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 36123057561600 in words is "thirty-six trillion, one hundred twenty-three billion, fifty-seven million, five hundred sixty-one thousand, six hundred".