10545331680 has 240 divisors, whose sum is σ = 40079660544. Its totient is φ = 2595732480.

The previous prime is 10545331679. The next prime is 10545331703. The reversal of 10545331680 is 8613354501.

10545331680 is a `hidden beast` number, since 1 + 0 + 545 + 3 + 31 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10545331680² (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, 137185 + ... + 199775.

Almost surely, 2^10545331680 is an apocalyptic number.

10545331680 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 10545331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20039830272).

10545331680 is an abundant number, since it is smaller than the sum of its proper divisors (29534328864).

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

10545331680 is a wasteful number, since it uses less digits than its factorization.

10545331680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62631 (or 62614 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

It can be divided in two parts, 10545 and 331680, that added together give a square (342225 = 585²).

The spelling of 10545331680 in words is "ten billion, five hundred forty-five million, three hundred thirty-one thousand, six hundred eighty".