83520460800 has 1296 divisors, whose sum is σ = 363471970680. Its totient is φ = 18951045120.

The previous prime is 83520460703. The next prime is 83520460801. The reversal of 83520460800 is 806402538.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83520460801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 609638332 + ... + 609638468.

Almost surely, 2^83520460800 is an apocalyptic number.

83520460800 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 83520460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181735985340).

83520460800 is an abundant number, since it is smaller than the sum of its proper divisors (279951509880).

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

83520460800 is a wasteful number, since it uses less digits than its factorization.

83520460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 83520460800 in words is "eighty-three billion, five hundred twenty million, four hundred sixty thousand, eight hundred".