213074861126400 has 2592 divisors, whose sum is σ = 1021369973137920. Its totient is φ = 43001314836480.

The previous prime is 213074861126357. The next prime is 213074861126429. The reversal of 213074861126400 is 4621168470312.

213074861126400 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 7 + 4 + 8 + 611 + 26 + 4 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 2531650719 + ... + 2531734881.

Almost surely, 2^{213074861126400} is an apocalyptic number.

213074861126400 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 213074861126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510684986568960).

213074861126400 is an abundant number, since it is smaller than the sum of its proper divisors (808295112011520).

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

213074861126400 is a wasteful number, since it uses less digits than its factorization.

213074861126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84248 (or 84216 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 213074861126400 in words is "two hundred thirteen trillion, seventy-four billion, eight hundred sixty-one million, one hundred twenty-six thousand, four hundred".