10017857920 has 768 divisors, whose sum is σ = 33153753600. Its totient is φ = 2861236224.

The previous prime is 10017857893. The next prime is 10017857923. The reversal of 10017857920 is 2975871001.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10017857923) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232973419 + ... + 232973461.

It is an arithmetic number, because the mean of its divisors is an integer number (43168950).

Almost surely, 2^10017857920 is an apocalyptic number.

10017857920 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 10017857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16576876800).

10017857920 is an abundant number, since it is smaller than the sum of its proper divisors (23135895680).

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

10017857920 is a wasteful number, since it uses less digits than its factorization.

10017857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 40.

The spelling of 10017857920 in words is "ten billion, seventeen million, eight hundred fifty-seven thousand, nine hundred twenty".