212507336160 has 1920 divisors, whose sum is σ = 963878952960. Its totient is φ = 42998169600.

The previous prime is 212507336159. The next prime is 212507336213. The reversal of 212507336160 is 61633705212.

212507336160 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 0 + 7 + 33 + 616 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2190797232 + ... + 2190797328.

It is an arithmetic number, because the mean of its divisors is an integer number (502020288).

Almost surely, 2^212507336160 is an apocalyptic number.

212507336160 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 212507336160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481939476480).

212507336160 is an abundant number, since it is smaller than the sum of its proper divisors (751371616800).

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

212507336160 is a wasteful number, since it uses less digits than its factorization.

212507336160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 212507336160 in words is "two hundred twelve billion, five hundred seven million, three hundred thirty-six thousand, one hundred sixty".