11725193760 has 384 divisors, whose sum is σ = 44936446464. Its totient is φ = 2508718080.

The previous prime is 11725193749. The next prime is 11725193771. The reversal of 11725193760 is 6739152711.

It is an interprime number because it is at equal distance from previous prime (11725193749) and next prime (11725193771).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13308520 + ... + 13309400.

It is an arithmetic number, because the mean of its divisors is an integer number (117021996).

Almost surely, 2^11725193760 is an apocalyptic number.

11725193760 is a gapful number since it is divisible by the number (10) 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 11725193760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22468223232).

11725193760 is an abundant number, since it is smaller than the sum of its proper divisors (33211252704).

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

11725193760 is a wasteful number, since it uses less digits than its factorization.

11725193760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 11725193760 in words is "eleven billion, seven hundred twenty-five million, one hundred ninety-three thousand, seven hundred sixty".