10375801920 has 560 divisors, whose sum is σ = 40698700416. Its totient is φ = 2488320000.

The previous prime is 10375801907. The next prime is 10375801939. The reversal of 10375801920 is 2910857301.

10375801920 is a `hidden beast` number, since 10 + 37 + 580 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43053000 + ... + 43053240.

Almost surely, 2^10375801920 is an apocalyptic number.

10375801920 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 10375801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20349350208).

10375801920 is an abundant number, since it is smaller than the sum of its proper divisors (30322898496).

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

10375801920 is a wasteful number, since it uses less digits than its factorization.

10375801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10375801920 in words is "ten billion, three hundred seventy-five million, eight hundred one thousand, nine hundred twenty".