212457922560 has 672 divisors, whose sum is σ = 812359836288. Its totient is φ = 51031572480.

The previous prime is 212457922559. The next prime is 212457922561. The reversal of 212457922560 is 65229754212.

212457922560 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 579 + 22 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (212457922559) and next prime (212457922561).

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

It is not an unprimeable number, because it can be changed into a prime (212457922561) 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, 206069245 + ... + 206070275.

It is an arithmetic number, because the mean of its divisors is an integer number (1208868804).

Almost surely, 2^212457922560 is an apocalyptic number.

212457922560 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 212457922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406179918144).

212457922560 is an abundant number, since it is smaller than the sum of its proper divisors (599901913728).

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

212457922560 is a wasteful number, since it uses less digits than its factorization.

212457922560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 212457922560 in words is "two hundred twelve billion, four hundred fifty-seven million, nine hundred twenty-two thousand, five hundred sixty".