10032264549360 has 80 divisors (see below), whose sum is σ = 34555577899680. Its totient is φ = 2675270545920.

The previous prime is 10032264549341. The next prime is 10032264549367. The reversal of 10032264549360 is 6394546223001.

10032264549360 is a `hidden beast` number, since 1 + 0 + 0 + 32 + 26 + 454 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×10032264549360³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032264549367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2322281301 + ... + 2322285620.

It is an arithmetic number, because the mean of its divisors is an integer number (431944723746).

Almost surely, 2^{10032264549360} is an apocalyptic number.

10032264549360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032264549360 is an abundant number, since it is smaller than the sum of its proper divisors (24523313350320).

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

10032264549360 is a wasteful number, since it uses less digits than its factorization.

10032264549360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644566943 (or 4644566931 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 10032264549360 in words is "ten trillion, thirty-two billion, two hundred sixty-four million, five hundred forty-nine thousand, three hundred sixty".