83099570400 has 2160 divisors, whose sum is σ = 409620032640. Its totient is φ = 15647385600.

The previous prime is 83099570399. The next prime is 83099570417. The reversal of 83099570400 is 407599038.

83099570400 is a `hidden beast` number, since 8 + 30 + 9 + 9 + 570 + 40 + 0 = 666.

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

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3613024789 + ... + 3613024811.

It is an arithmetic number, because the mean of its divisors is an integer number (189638904).

Almost surely, 2^83099570400 is an apocalyptic number.

83099570400 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 83099570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204810016320).

83099570400 is an abundant number, since it is smaller than the sum of its proper divisors (326520462240).

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

83099570400 is a wasteful number, since it uses less digits than its factorization.

83099570400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 83099570400 in words is "eighty-three billion, ninety-nine million, five hundred seventy thousand, four hundred".