213376315392000 has 2048 divisors, whose sum is σ = 830308527360000. Its totient is φ = 53965121126400.

The previous prime is 213376315391983. The next prime is 213376315392013. The reversal of 213376315392000 is 293513673312.

213376315392000 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 7 + 631 + 5 + 3 + 9 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×213376315392000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 378998783719 + ... + 378998784281.

It is an arithmetic number, because the mean of its divisors is an integer number (405424085625).

Almost surely, 2^{213376315392000} is an apocalyptic number.

213376315392000 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 213376315392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415154263680000).

213376315392000 is an abundant number, since it is smaller than the sum of its proper divisors (616932211968000).

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

213376315392000 is an equidigital number, since it uses as much as digits as its factorization.

213376315392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 213376315392000 in words is "two hundred thirteen trillion, three hundred seventy-six billion, three hundred fifteen million, three hundred ninety-two thousand".