212517797990400 has 3120 divisors, whose sum is σ = 942344659795968. Its totient is φ = 46318583808000.

The previous prime is 212517797990339. The next prime is 212517797990411. The reversal of 212517797990400 is 4099797715212.

212517797990400 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 1 + 7 + 79 + 79 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 127791819969 + ... + 127791821631.

Almost surely, 2^{212517797990400} is an apocalyptic number.

212517797990400 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 212517797990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471172329897984).

212517797990400 is an abundant number, since it is smaller than the sum of its proper divisors (729826861805568).

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

212517797990400 is a wasteful number, since it uses less digits than its factorization.

212517797990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

The spelling of 212517797990400 in words is "two hundred twelve trillion, five hundred seventeen billion, seven hundred ninety-seven million, nine hundred ninety thousand, four hundred".