83857000920 has 1024 divisors, whose sum is σ = 344701992960. Its totient is φ = 15792537600.

The previous prime is 83857000901. The next prime is 83857000961. The reversal of 83857000920 is 2900075838.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 814145589 + ... + 814145691.

It is an arithmetic number, because the mean of its divisors is an integer number (336623040).

Almost surely, 2^83857000920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83857000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172350996480).

83857000920 is an abundant number, since it is smaller than the sum of its proper divisors (260844992040).

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

83857000920 is a wasteful number, since it uses less digits than its factorization.

83857000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 83857000920 in words is "eighty-three billion, eight hundred fifty-seven million, nine hundred twenty", and thus it is an aban number.