83526342400 has 54 divisors (see below), whose sum is σ = 206740764272. Its totient is φ = 33410534400.

The previous prime is 83526342391. The next prime is 83526342401. The reversal of 83526342400 is 424362538.

It is a self number, because there is not a number n which added to its sum of digits gives 83526342400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83526342401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6519096 + ... + 6531895.

Almost surely, 2^83526342400 is an apocalyptic number.

83526342400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83526342400 is an abundant number, since it is smaller than the sum of its proper divisors (123214421872).

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

83526342400 is a wasteful number, since it uses less digits than its factorization.

83526342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13051017 (or 13050998 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 83526342400 in words is "eighty-three billion, five hundred twenty-six million, three hundred forty-two thousand, four hundred".