10500732191376 has 640 divisors, whose sum is σ = 35966977966080. Its totient is φ = 2870177587200.

The previous prime is 10500732191363. The next prime is 10500732191399. The reversal of 10500732191376 is 67319123700501.

10500732191376 is a `hidden beast` number, since 1 + 0 + 500 + 7 + 3 + 2 + 1 + 9 + 137 + 6 = 666.

It is a super-2 number, since 2×10500732191376² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4904591266 + ... + 4904593406.

It is an arithmetic number, because the mean of its divisors is an integer number (56198403072).

Almost surely, 2^{10500732191376} is an apocalyptic number.

10500732191376 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 10500732191376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17983488983040).

10500732191376 is an abundant number, since it is smaller than the sum of its proper divisors (25466245774704).

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

10500732191376 is a wasteful number, since it uses less digits than its factorization.

10500732191376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

Adding to 10500732191376 its reverse (67319123700501), we get a palindrome (77819855891877).

The spelling of 10500732191376 in words is "ten trillion, five hundred billion, seven hundred thirty-two million, one hundred ninety-one thousand, three hundred seventy-six".