10137725047296 has 1920 divisors, whose sum is σ = 40651182443520. Its totient is φ = 2458062028800.

The previous prime is 10137725047277. The next prime is 10137725047309. The reversal of 10137725047296 is 69274052773101.

10137725047296 is a `hidden beast` number, since 1 + 0 + 1 + 37 + 7 + 2 + 50 + 472 + 96 = 666.

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 191 ways as a sum of consecutive naturals, for example, 20647097611 + ... + 20647098101.

It is an arithmetic number, because the mean of its divisors is an integer number (21172490856).

Almost surely, 2^{10137725047296} is an apocalyptic number.

10137725047296 is a gapful number since it is divisible by the number (16) 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 10137725047296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20325591221760).

10137725047296 is an abundant number, since it is smaller than the sum of its proper divisors (30513457396224).

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

10137725047296 is a wasteful number, since it uses less digits than its factorization.

10137725047296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 10137725047296 in words is "ten trillion, one hundred thirty-seven billion, seven hundred twenty-five million, forty-seven thousand, two hundred ninety-six".