10540279314912 has 48 divisors (see below), whose sum is σ = 27676074338640. Its totient is φ = 3512430738432.

The previous prime is 10540279314907. The next prime is 10540279314941. The reversal of 10540279314912 is 21941397204501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10540279314912² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15217263 + ... + 15894830.

It is an arithmetic number, because the mean of its divisors is an integer number (576584882055).

Almost surely, 2^{10540279314912} is an apocalyptic number.

10540279314912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10540279314912 is an abundant number, since it is smaller than the sum of its proper divisors (17135795023728).

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

10540279314912 is a wasteful number, since it uses less digits than its factorization.

10540279314912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31115635 (or 31115627 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 10540279314912 in words is "ten trillion, five hundred forty billion, two hundred seventy-nine million, three hundred fourteen thousand, nine hundred twelve".