212778175900480 has 112 divisors (see below), whose sum is σ = 516312020088144. Its totient is φ = 83493423104000.

The previous prime is 212778175900457. The next prime is 212778175900583. The reversal of 212778175900480 is 84009571877212.

It can be written as a sum of positive squares in 8 ways, for example, as 2467387507264 + 210310788393216 = 1570792^2 + 14502096^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117840954 + ... + 119632966.

It is an arithmetic number, because the mean of its divisors is an integer number (4609928750787).

Almost surely, 2^{212778175900480} is an apocalyptic number.

212778175900480 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 212778175900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258156010044072).

212778175900480 is an abundant number, since it is smaller than the sum of its proper divisors (303533844187664).

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

212778175900480 is a wasteful number, since it uses less digits than its factorization.

212778175900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799084 (or 1799074 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 61.

The spelling of 212778175900480 in words is "two hundred twelve trillion, seven hundred seventy-eight billion, one hundred seventy-five million, nine hundred thousand, four hundred eighty".