10132500840 has 256 divisors, whose sum is σ = 38009088000. Its totient is φ = 2099297280.

The previous prime is 10132500827. The next prime is 10132500857. The reversal of 10132500840 is 4800523101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10132500840.

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, 3592951 + ... + 3595769.

It is an arithmetic number, because the mean of its divisors is an integer number (148473000).

Almost surely, 2^10132500840 is an apocalyptic number.

10132500840 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 10132500840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19004544000).

10132500840 is an abundant number, since it is smaller than the sum of its proper divisors (27876587160).

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

10132500840 is a wasteful number, since it uses less digits than its factorization.

10132500840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 10132500840 in words is "ten billion, one hundred thirty-two million, five hundred thousand, eight hundred forty".