21162651610464 has 576 divisors, whose sum is σ = 75502740418560. Its totient is φ = 5474378649600.

The previous prime is 21162651610427. The next prime is 21162651610489. The reversal of 21162651610464 is 46401615626112.

21162651610464 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 26 + 5 + 1 + 610 + 4 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283192497 + ... + 283267215.

It is an arithmetic number, because the mean of its divisors is an integer number (131081146560).

Almost surely, 2^{21162651610464} is an apocalyptic number.

21162651610464 is a gapful number since it is divisible by the number (24) 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 21162651610464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37751370209280).

21162651610464 is an abundant number, since it is smaller than the sum of its proper divisors (54340088808096).

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

21162651610464 is a wasteful number, since it uses less digits than its factorization.

21162651610464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74963 (or 74952 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 21162651610464 in words is "twenty-one trillion, one hundred sixty-two billion, six hundred fifty-one million, six hundred ten thousand, four hundred sixty-four".