212927774400 has 1008 divisors, whose sum is σ = 883523272320. Its totient is φ = 48063283200.

The previous prime is 212927774393. The next prime is 212927774441. The reversal of 212927774400 is 4477729212.

212927774400 is a `hidden beast` number, since 21 + 2 + 92 + 77 + 74 + 400 = 666.

It is a super-2 number, since 2×212927774400² (a number of 23 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 288129231 + ... + 288129969.

Almost surely, 2^212927774400 is an apocalyptic number.

212927774400 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 212927774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441761636160).

212927774400 is an abundant number, since it is smaller than the sum of its proper divisors (670595497920).

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

212927774400 is a wasteful number, since it uses less digits than its factorization.

212927774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 212927774400 in words is "two hundred twelve billion, nine hundred twenty-seven million, seven hundred seventy-four thousand, four hundred".