10132709376 has 224 divisors, whose sum is σ = 29064752640. Its totient is φ = 3128426496.

The previous prime is 10132709347. The next prime is 10132709387. The reversal of 10132709376 is 67390723101.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33005415 + ... + 33005721.

It is an arithmetic number, because the mean of its divisors is an integer number (129753360).

Almost surely, 2^10132709376 is an apocalyptic number.

10132709376 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 10132709376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14532376320).

10132709376 is an abundant number, since it is smaller than the sum of its proper divisors (18932043264).

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

10132709376 is an equidigital number, since it uses as much as digits as its factorization.

10132709376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The spelling of 10132709376 in words is "ten billion, one hundred thirty-two million, seven hundred nine thousand, three hundred seventy-six".