83535025766400 has 1920 divisors, whose sum is σ = 335753226824400. Its totient is φ = 20409797836800.

The previous prime is 83535025766363. The next prime is 83535025766429. The reversal of 83535025766400 is 466752053538.

83535025766400 is a `hidden beast` number, since 8 + 3 + 5 + 3 + 5 + 0 + 2 + 576 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×83535025766400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 154408550130 + ... + 154408550670.

Almost surely, 2^{83535025766400} is an apocalyptic number.

83535025766400 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 83535025766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167876613412200).

83535025766400 is an abundant number, since it is smaller than the sum of its proper divisors (252218201058000).

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

83535025766400 is a wasteful number, since it uses less digits than its factorization.

83535025766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 83535025766400 in words is "eighty-three trillion, five hundred thirty-five billion, twenty-five million, seven hundred sixty-six thousand, four hundred".