83532560400 has 135 divisors (see below), whose sum is σ = 289941379351. Its totient is φ = 22270725120.

The previous prime is 83532560389. The next prime is 83532560417. The reversal of 83532560400 is 406523538.

It is a happy number.

The square root of 83532560400 is 289020.

It is a perfect power (a square), and thus also a powerful number.

83532560400 is a `hidden beast` number, since 8 + 3 + 53 + 2 + 560 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28236097296 + 55296463104 = 168036^2 + 235152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17338792 + ... + 17343608.

Almost surely, 2^83532560400 is an apocalyptic number.

83532560400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83532560400 is the 289020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83532560400

83532560400 is an abundant number, since it is smaller than the sum of its proper divisors (206408818951).

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

83532560400 is an equidigital number, since it uses as much as digits as its factorization.

83532560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9658 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 83532560400 by its sum of digits (36), we get a square (3007172174400 = 1734120²).

83532560400 divided by its sum of digits (36) gives a square (2320348900 = 48170²).

The spelling of 83532560400 in words is "eighty-three billion, five hundred thirty-two million, five hundred sixty thousand, four hundred".