10069920000 has 1080 divisors, whose sum is σ = 44161813696. Its totient is φ = 2239488000.

The previous prime is 10069919941. The next prime is 10069920001. The reversal of 10069920000 is 2996001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10069920001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 272159982 + ... + 272160018.

Almost surely, 2^10069920000 is an apocalyptic number.

10069920000 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 10069920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22080906848).

10069920000 is an abundant number, since it is smaller than the sum of its proper divisors (34091893696).

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

10069920000 is an frugal number, since it uses more digits than its factorization.

10069920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 10069920000 in words is "ten billion, sixty-nine million, nine hundred twenty thousand".