10725364090848 has 96 divisors (see below), whose sum is σ = 30714801651072. Its totient is φ = 3249977100800.

The previous prime is 10725364090829. The next prime is 10725364090871. The reversal of 10725364090848 is 84809046352701.

It is a happy number.

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

It is a congruent number.

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, 27283015 + ... + 27673337.

It is an arithmetic number, because the mean of its divisors is an integer number (319945850532).

It is a 1-persistent number, because it is pandigital, but 2⋅10725364090848 = 21450728181696 is not.

Almost surely, 2^{10725364090848} is an apocalyptic number.

It is an amenable number.

10725364090848 is an abundant number, since it is smaller than the sum of its proper divisors (19989437560224).

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

10725364090848 is a wasteful number, since it uses less digits than its factorization.

10725364090848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416368 (or 416360 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 10725364090848 in words is "ten trillion, seven hundred twenty-five billion, three hundred sixty-four million, ninety thousand, eight hundred forty-eight".