83526942720 has 640 divisors, whose sum is σ = 310042656000. Its totient is φ = 19025362944.

The previous prime is 83526942713. The next prime is 83526942721. The reversal of 83526942720 is 2724962538.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83526942720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83526942721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1942487019 + ... + 1942487061.

It is an arithmetic number, because the mean of its divisors is an integer number (484441650).

Almost surely, 2^83526942720 is an apocalyptic number.

83526942720 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 83526942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155021328000).

83526942720 is an abundant number, since it is smaller than the sum of its proper divisors (226515713280).

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

83526942720 is an equidigital number, since it uses as much as digits as its factorization.

83526942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 83526942720 in words is "eighty-three billion, five hundred twenty-six million, nine hundred forty-two thousand, seven hundred twenty".