10807133376 has 224 divisors, whose sum is σ = 33304642560. Its totient is φ = 3062513664.

The previous prime is 10807133353. The next prime is 10807133387. The reversal of 10807133376 is 67333170801.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1991595 + ... + 1997013.

It is an arithmetic number, because the mean of its divisors is an integer number (148681440).

Almost surely, 2^10807133376 is an apocalyptic number.

10807133376 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 10807133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16652321280).

10807133376 is an abundant number, since it is smaller than the sum of its proper divisors (22497509184).

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

10807133376 is a wasteful number, since it uses less digits than its factorization.

10807133376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5501 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 10807133376 in words is "ten billion, eight hundred seven million, one hundred thirty-three thousand, three hundred seventy-six".