212520792960 has 384 divisors, whose sum is σ = 875567469600. Its totient is φ = 48575987712.

The previous prime is 212520792941. The next prime is 212520792961. The reversal of 212520792960 is 69297025212.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212520792961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721224 + ... + 972216.

Almost surely, 2^212520792960 is an apocalyptic number.

212520792960 is a gapful number since it is divisible by the number (20) 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 212520792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437783734800).

212520792960 is an abundant number, since it is smaller than the sum of its proper divisors (663046676640).

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

212520792960 is a wasteful number, since it uses less digits than its factorization.

212520792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251035 (or 251010 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 212520792960 in words is "two hundred twelve billion, five hundred twenty million, seven hundred ninety-two thousand, nine hundred sixty".