10567920000 has 320 divisors, whose sum is σ = 38275997760. Its totient is φ = 2561280000.

The previous prime is 10567919969. The next prime is 10567920007. The reversal of 10567920000 is 2976501.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×10567920000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 10567920000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10567920007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2637999 + ... + 2642001.

It is an arithmetic number, because the mean of its divisors is an integer number (119612493).

Almost surely, 2^10567920000 is an apocalyptic number.

10567920000 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 10567920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19137998880).

10567920000 is an abundant number, since it is smaller than the sum of its proper divisors (27708077760).

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

10567920000 is an equidigital number, since it uses as much as digits as its factorization.

10567920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 10567920000 in words is "ten billion, five hundred sixty-seven million, nine hundred twenty thousand".