10007959500 has 576 divisors, whose sum is σ = 41702169600. Its totient is φ = 1956096000.

The previous prime is 10007959499. The next prime is 10007959519. The reversal of 10007959500 is 595970001.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5889651 + ... + 5891349.

It is an arithmetic number, because the mean of its divisors is an integer number (72399600).

Almost surely, 2^10007959500 is an apocalyptic number.

10007959500 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 10007959500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20851084800).

10007959500 is an abundant number, since it is smaller than the sum of its proper divisors (31694210100).

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

10007959500 is a wasteful number, since it uses less digits than its factorization.

10007959500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The spelling of 10007959500 in words is "ten billion, seven million, nine hundred fifty-nine thousand, five hundred".