212977089920 has 256 divisors, whose sum is σ = 590904115200. Its totient is φ = 71897849856.

The previous prime is 212977089851. The next prime is 212977089943. The reversal of 212977089920 is 29980779212.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79084094 + ... + 79086786.

It is an arithmetic number, because the mean of its divisors is an integer number (2308219200).

Almost surely, 2^212977089920 is an apocalyptic number.

212977089920 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 212977089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295452057600).

212977089920 is an abundant number, since it is smaller than the sum of its proper divisors (377927025280).

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

212977089920 is a wasteful number, since it uses less digits than its factorization.

212977089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 56.

The spelling of 212977089920 in words is "two hundred twelve billion, nine hundred seventy-seven million, eighty-nine thousand, nine hundred twenty".