21357694813410 has 160 divisors (see below), whose sum is σ = 60153225073920. Its totient is φ = 5427044675712.

The previous prime is 21357694813267. The next prime is 21357694813453. The reversal of 21357694813410 is 1431849675312.

21357694813410 is a `hidden beast` number, since 2 + 1 + 3 + 576 + 9 + 48 + 13 + 4 + 10 = 666.

It is a super-2 number, since 2×21357694813410² (a number of 27 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 2720196 + ... + 7079184.

It is an arithmetic number, because the mean of its divisors is an integer number (375957656712).

It is a 2-persistent number, because it is pandigital, and so is 2⋅21357694813410 = 42715389626820, but 3⋅21357694813410 = 64073084440230 is not.

Almost surely, 2^{21357694813410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21357694813410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30076612536960).

21357694813410 is an abundant number, since it is smaller than the sum of its proper divisors (38795530260510).

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

21357694813410 is a wasteful number, since it uses less digits than its factorization.

21357694813410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359294 (or 4359285 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 21357694813410 in words is "twenty-one trillion, three hundred fifty-seven billion, six hundred ninety-four million, eight hundred thirteen thousand, four hundred ten".