212297049518400 has 3024 divisors, whose sum is σ = 991657008556032. Its totient is φ = 42085901721600.

The previous prime is 212297049518387. The next prime is 212297049518401. The reversal of 212297049518400 is 4815940792212.

212297049518400 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 9 + 70 + 495 + 1 + 84 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212297049518401) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 146715306477 + ... + 146715307923.

Almost surely, 2^{212297049518400} is an apocalyptic number.

212297049518400 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 212297049518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495828504278016).

212297049518400 is an abundant number, since it is smaller than the sum of its proper divisors (779359959037632).

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

212297049518400 is a wasteful number, since it uses less digits than its factorization.

212297049518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 212297049518400 in words is "two hundred twelve trillion, two hundred ninety-seven billion, forty-nine million, five hundred eighteen thousand, four hundred".