10137869280 has 480 divisors, whose sum is σ = 44611015680. Its totient is φ = 2106362880.

The previous prime is 10137869251. The next prime is 10137869281. The reversal of 10137869280 is 8296873101.

It is a tau number, because it is divible by the number of its divisors (480).

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 (10137869281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 992841 + ... + 1002999.

It is an arithmetic number, because the mean of its divisors is an integer number (92939616).

Almost surely, 2^10137869280 is an apocalyptic number.

10137869280 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 10137869280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22305507840).

10137869280 is an abundant number, since it is smaller than the sum of its proper divisors (34473146400).

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

10137869280 is a wasteful number, since it uses less digits than its factorization.

10137869280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10204 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10137869280 in words is "ten billion, one hundred thirty-seven million, eight hundred sixty-nine thousand, two hundred eighty".