10725849792 has 224 divisors, whose sum is σ = 36390681600. Its totient is φ = 3034423296.

The previous prime is 10725849769. The next prime is 10725849851. The reversal of 10725849792 is 29794852701.

10725849792 is a `hidden beast` number, since 10 + 7 + 2 + 58 + 497 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1241584 + ... + 1250192.

It is an arithmetic number, because the mean of its divisors is an integer number (162458400).

Almost surely, 2^10725849792 is an apocalyptic number.

10725849792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10725849792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18195340800).

10725849792 is an abundant number, since it is smaller than the sum of its proper divisors (25664831808).

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

10725849792 is a wasteful number, since it uses less digits than its factorization.

10725849792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8740 (or 8724 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10725849792 in words is "ten billion, seven hundred twenty-five million, eight hundred forty-nine thousand, seven hundred ninety-two".