21313577376 has 432 divisors, whose sum is σ = 77338445184. Its totient is φ = 5421717504.

The previous prime is 21313577359. The next prime is 21313577381. The reversal of 21313577376 is 67377531312.

21313577376 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 577 + 3 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22040445 + ... + 22041411.

Almost surely, 2^21313577376 is an apocalyptic number.

21313577376 is a gapful number since it is divisible by the number (26) 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 21313577376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38669222592).

21313577376 is an abundant number, since it is smaller than the sum of its proper divisors (56024867808).

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

21313577376 is a wasteful number, since it uses less digits than its factorization.

21313577376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1021 counting only the distinct ones).

The product of its digits is 555660, while the sum is 45.

The spelling of 21313577376 in words is "twenty-one billion, three hundred thirteen million, five hundred seventy-seven thousand, three hundred seventy-six".