21426407362560 has 416 divisors, whose sum is σ = 74550842836992. Its totient is φ = 5232257925120.

The previous prime is 21426407362517. The next prime is 21426407362579. The reversal of 21426407362560 is 6526370462412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38368545 + ... + 38922975.

Almost surely, 2^{21426407362560} is an apocalyptic number.

21426407362560 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 21426407362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37275421418496).

21426407362560 is an abundant number, since it is smaller than the sum of its proper divisors (53124435474432).

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

21426407362560 is a wasteful number, since it uses less digits than its factorization.

21426407362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554517 (or 554495 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 21426407362560 in words is "twenty-one trillion, four hundred twenty-six billion, four hundred seven million, three hundred sixty-two thousand, five hundred sixty".