83531120400 has 1200 divisors, whose sum is σ = 378514190208. Its totient is φ = 17169408000.

The previous prime is 83531120377. The next prime is 83531120411. The reversal of 83531120400 is 402113538.

It is a happy number.

83531120400 is a `hidden beast` number, since 8 + 3 + 531 + 120 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 120884055 + ... + 120884745.

Almost surely, 2^83531120400 is an apocalyptic number.

83531120400 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 83531120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189257095104).

83531120400 is an abundant number, since it is smaller than the sum of its proper divisors (294983069808).

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

83531120400 is a wasteful number, since it uses less digits than its factorization.

83531120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 83531120400 its reverse (402113538), we get a palindrome (83933233938).

It can be divided in two parts, 8353 and 1120400, that added together give a triangular number (1128753 = T₁₅₀₂).

The spelling of 83531120400 in words is "eighty-three billion, five hundred thirty-one million, one hundred twenty thousand, four hundred".