21313964590380 has 3072 divisors, whose sum is σ = 93018046464000. Its totient is φ = 3919104000000.

The previous prime is 21313964590309. The next prime is 21313964590453. The reversal of 21313964590380 is 8309546931312.

21313964590380 is a `hidden beast` number, since 2 + 1 + 3 + 13 + 9 + 6 + 4 + 590 + 38 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 141152083305 + ... + 141152083455.

It is an arithmetic number, because the mean of its divisors is an integer number (30279312000).

Almost surely, 2^{21313964590380} is an apocalyptic number.

21313964590380 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 21313964590380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46509023232000).

21313964590380 is an abundant number, since it is smaller than the sum of its proper divisors (71704081873620).

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

21313964590380 is a wasteful number, since it uses less digits than its factorization.

21313964590380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 21313964590380 in words is "twenty-one trillion, three hundred thirteen billion, nine hundred sixty-four million, five hundred ninety thousand, three hundred eighty".