83958405120 has 768 divisors, whose sum is σ = 317200665600. Its totient is φ = 21284093952.

The previous prime is 83958405109. The next prime is 83958405169. The reversal of 83958405120 is 2150485938.

83958405120 is a `hidden beast` number, since 8 + 3 + 95 + 8 + 40 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 515082159 + ... + 515082321.

It is an arithmetic number, because the mean of its divisors is an integer number (413021700).

Almost surely, 2^83958405120 is an apocalyptic number.

83958405120 is a gapful number since it is divisible by the number (80) 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 83958405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158600332800).

83958405120 is an abundant number, since it is smaller than the sum of its proper divisors (233242260480).

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

83958405120 is an equidigital number, since it uses as much as digits as its factorization.

83958405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 83958405120 in words is "eighty-three billion, nine hundred fifty-eight million, four hundred five thousand, one hundred twenty".