10137249017280 has 672 divisors, whose sum is σ = 43578361082880. Its totient is φ = 2101272330240.

The previous prime is 10137249017249. The next prime is 10137249017281. The reversal of 10137249017280 is 8271094273101.

10137249017280 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 72 + 490 + 17 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10137249017281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90643957 + ... + 90755723.

Almost surely, 2^{10137249017280} is an apocalyptic number.

10137249017280 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 10137249017280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21789180541440).

10137249017280 is an abundant number, since it is smaller than the sum of its proper divisors (33441112065600).

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

10137249017280 is a wasteful number, since it uses less digits than its factorization.

10137249017280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112217 (or 112204 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 10137249017280 in words is "ten trillion, one hundred thirty-seven billion, two hundred forty-nine million, seventeen thousand, two hundred eighty".