212407963286400 has 1728 divisors, whose sum is σ = 915823983044880. Its totient is φ = 48470363504640.

The previous prime is 212407963286353. The next prime is 212407963286413. The reversal of 212407963286400 is 4682369704212.

It is a happy number.

212407963286400 is a `hidden beast` number, since 2 + 1 + 2 + 40 + 7 + 96 + 32 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 24880862932 + ... + 24880871468.

Almost surely, 2^{212407963286400} is an apocalyptic number.

212407963286400 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 212407963286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457911991522440).

212407963286400 is an abundant number, since it is smaller than the sum of its proper divisors (703416019758480).

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

212407963286400 is an equidigital number, since it uses as much as digits as its factorization.

212407963286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9243 (or 9207 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 212407963286400 in words is "two hundred twelve trillion, four hundred seven billion, nine hundred sixty-three million, two hundred eighty-six thousand, four hundred".