10621255680 has 640 divisors, whose sum is σ = 44055248400. Its totient is φ = 2427715584.

The previous prime is 10621255649. The next prime is 10621255691. The reversal of 10621255680 is 8655212601.

10621255680 is a `hidden beast` number, since 1 + 0 + 6 + 21 + 2 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×10621255680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1517322237 + ... + 1517322243.

Almost surely, 2^10621255680 is an apocalyptic number.

10621255680 is a gapful number since it is divisible by the number (10) 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 10621255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22027624200).

10621255680 is an abundant number, since it is smaller than the sum of its proper divisors (33433992720).

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

10621255680 is an frugal number, since it uses more digits than its factorization.

10621255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10621255680 in words is "ten billion, six hundred twenty-one million, two hundred fifty-five thousand, six hundred eighty".