83513894400 has 480 divisors, whose sum is σ = 308585249280. Its totient is φ = 22121717760.

The previous prime is 83513894363. The next prime is 83513894441. The reversal of 83513894400 is 449831538.

83513894400 is a `hidden beast` number, since 8 + 3 + 513 + 8 + 94 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57714477 + ... + 57715923.

It is an arithmetic number, because the mean of its divisors is an integer number (642885936).

Almost surely, 2^83513894400 is an apocalyptic number.

83513894400 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 83513894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154292624640).

83513894400 is an abundant number, since it is smaller than the sum of its proper divisors (225071354880).

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

83513894400 is a wasteful number, since it uses less digits than its factorization.

83513894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 83513894400 in words is "eighty-three billion, five hundred thirteen million, eight hundred ninety-four thousand, four hundred".