10641088080 has 480 divisors, whose sum is σ = 41916745728. Its totient is φ = 2369203200.

The previous prime is 10641088079. The next prime is 10641088097. The reversal of 10641088080 is 8088014601.

10641088080 is a `hidden beast` number, since 1 + 0 + 641 + 0 + 8 + 8 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×10641088080² (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 95 ways as a sum of consecutive naturals, for example, 46876927 + ... + 46877153.

Almost surely, 2^10641088080 is an apocalyptic number.

10641088080 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 10641088080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958372864).

10641088080 is an abundant number, since it is smaller than the sum of its proper divisors (31275657648).

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

10641088080 is a wasteful number, since it uses less digits than its factorization.

10641088080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10641088080 in words is "ten billion, six hundred forty-one million, eighty-eight thousand, eighty".