36227972090592 has 192 divisors, whose sum is σ = 106243845120000. Its totient is φ = 12009882576384.

The previous prime is 36227972090561. The next prime is 36227972090603. The reversal of 36227972090592 is 29509027972263.

36227972090592 is a `hidden beast` number, since 36 + 2 + 2 + 7 + 9 + 7 + 2 + 0 + 9 + 0 + 592 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390076353 + ... + 390169215.

It is an arithmetic number, because the mean of its divisors is an integer number (553353360000).

Almost surely, 2^{36227972090592} is an apocalyptic number.

36227972090592 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 36227972090592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121922560000).

36227972090592 is an abundant number, since it is smaller than the sum of its proper divisors (70015873029408).

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

36227972090592 is a wasteful number, since it uses less digits than its factorization.

36227972090592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95350 (or 95336 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 36227972090592 in words is "thirty-six trillion, two hundred twenty-seven billion, nine hundred seventy-two million, ninety thousand, five hundred ninety-two".