213783561351360 has 6720 divisors, whose sum is σ = 1079766345326592. Its totient is φ = 39020838912000.

The previous prime is 213783561351359. The next prime is 213783561351383. The reversal of 213783561351360 is 63153165387312.

213783561351360 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 8 + 3 + 5 + 61 + 3 + 513 + 60 = 666.

213783561351360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a super-2 number, since 2×213783561351360² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 213783561351297 and 213783561351306.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 645871786395 + ... + 645871786725.

Almost surely, 2^{213783561351360} is an apocalyptic number.

213783561351360 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 213783561351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539883172663296).

213783561351360 is an abundant number, since it is smaller than the sum of its proper divisors (865982783975232).

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

213783561351360 is a wasteful number, since it uses less digits than its factorization.

213783561351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 213783561351360 in words is "two hundred thirteen trillion, seven hundred eighty-three billion, five hundred sixty-one million, three hundred fifty-one thousand, three hundred sixty".