126072765840 has 160 divisors (see below), whose sum is σ = 446761405440. Its totient is φ = 28809948672.

The previous prime is 126072765827. The next prime is 126072765877. The reversal of 126072765840 is 48567270621.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126072765840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13211791 + ... + 13221329.

It is an arithmetic number, because the mean of its divisors is an integer number (2792258784).

Almost surely, 2^126072765840 is an apocalyptic number.

126072765840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126072765840 is an abundant number, since it is smaller than the sum of its proper divisors (320688639600).

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

126072765840 is a wasteful number, since it uses less digits than its factorization.

126072765840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17429 (or 17423 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 126072765840 in words is "one hundred twenty-six billion, seventy-two million, seven hundred sixty-five thousand, eight hundred forty".