10691971920 has 320 divisors, whose sum is σ = 43448647680. Its totient is φ = 2364940800.

The previous prime is 10691971909. The next prime is 10691971933. The reversal of 10691971920 is 2917919601.

It is a super-2 number, since 2×10691971920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 457315 + ... + 480125.

It is an arithmetic number, because the mean of its divisors is an integer number (135777024).

Almost surely, 2^10691971920 is an apocalyptic number.

10691971920 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 10691971920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21724323840).

10691971920 is an abundant number, since it is smaller than the sum of its proper divisors (32756675760).

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

10691971920 is a wasteful number, since it uses less digits than its factorization.

10691971920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22871 (or 22859 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 45.

The spelling of 10691971920 in words is "ten billion, six hundred ninety-one million, nine hundred seventy-one thousand, nine hundred twenty".