212705536680 has 640 divisors, whose sum is σ = 897928416000. Its totient is φ = 44875482624.

The previous prime is 212705536669. The next prime is 212705536711. The reversal of 212705536680 is 86635507212.

212705536680 is a `hidden beast` number, since 2 + 12 + 7 + 0 + 553 + 6 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14439799 + ... + 14454521.

It is an arithmetic number, because the mean of its divisors is an integer number (1403013150).

Almost surely, 2^212705536680 is an apocalyptic number.

212705536680 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 212705536680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448964208000).

212705536680 is an abundant number, since it is smaller than the sum of its proper divisors (685222879320).

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

212705536680 is a wasteful number, since it uses less digits than its factorization.

212705536680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14780 (or 14753 counting only the distinct ones).

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

The spelling of 212705536680 in words is "two hundred twelve billion, seven hundred five million, five hundred thirty-six thousand, six hundred eighty".