36546120256500 has 192 divisors, whose sum is σ = 124470529747200. Its totient is φ = 9232704000000.

The previous prime is 36546120256493. The next prime is 36546120256523. The reversal of 36546120256500 is 565202164563.

36546120256500 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 61 + 20 + 2 + 565 + 0 + 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 63 ways as a sum of consecutive naturals, for example, 70983501 + ... + 71496500.

It is an arithmetic number, because the mean of its divisors is an integer number (648284009100).

Almost surely, 2^{36546120256500} is an apocalyptic number.

36546120256500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36546120256500 is an abundant number, since it is smaller than the sum of its proper divisors (87924409490700).

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

36546120256500 is a wasteful number, since it uses less digits than its factorization.

36546120256500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142480048 (or 142480030 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 36546120256500 in words is "thirty-six trillion, five hundred forty-six billion, one hundred twenty million, two hundred fifty-six thousand, five hundred".