212153052402432 has 216 divisors, whose sum is σ = 615963354158880. Its totient is φ = 70224429219840.

The previous prime is 212153052402427. The next prime is 212153052402451. The reversal of 212153052402432 is 234204250351212.

212153052402432 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 530 + 52 + 40 + 2 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387957682 + ... + 388504142.

It is an arithmetic number, because the mean of its divisors is an integer number (2851682195180).

Almost surely, 2^{212153052402432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212153052402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307981677079440).

212153052402432 is an abundant number, since it is smaller than the sum of its proper divisors (403810301756448).

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

212153052402432 is a wasteful number, since it uses less digits than its factorization.

212153052402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547659 (or 547642 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 212153052402432 in words is "two hundred twelve trillion, one hundred fifty-three billion, fifty-two million, four hundred two thousand, four hundred thirty-two".