36475125120 has 512 divisors, whose sum is σ = 148689561600. Its totient is φ = 8277811200.

The previous prime is 36475125119. The next prime is 36475125139. The reversal of 36475125120 is 2152157463.

36475125120 is a `hidden beast` number, since 3 + 64 + 75 + 12 + 512 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 18263962 + ... + 18265958.

It is an arithmetic number, because the mean of its divisors is an integer number (290409300).

Almost surely, 2^36475125120 is an apocalyptic number.

36475125120 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 36475125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74344780800).

36475125120 is an abundant number, since it is smaller than the sum of its proper divisors (112214436480).

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

36475125120 is a wasteful number, since it uses less digits than its factorization.

36475125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 36475125120 in words is "thirty-six billion, four hundred seventy-five million, one hundred twenty-five thousand, one hundred twenty".