10722642135840 has 96 divisors (see below), whose sum is σ = 37529247490560. Its totient is φ = 2859371235072.

The previous prime is 10722642135781. The next prime is 10722642135869. The reversal of 10722642135840 is 4853124622701.

10722642135840 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 2 + 64 + 2 + 1 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10722642135840² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1241042224 + ... + 1241050863.

It is an arithmetic number, because the mean of its divisors is an integer number (390929661360).

Almost surely, 2^{10722642135840} is an apocalyptic number.

10722642135840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10722642135840 is an abundant number, since it is smaller than the sum of its proper divisors (26806605354720).

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

10722642135840 is a wasteful number, since it uses less digits than its factorization.

10722642135840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482093111 (or 2482093097 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 10722642135840 in words is "ten trillion, seven hundred twenty-two billion, six hundred forty-two million, one hundred thirty-five thousand, eight hundred forty".