83404152796536 has 1024 divisors, whose sum is σ = 281893312512000. Its totient is φ = 22513510656000.

The previous prime is 83404152796529. The next prime is 83404152796553. The reversal of 83404152796536 is 63569725140438.

83404152796536 is a `hidden beast` number, since 8 + 3 + 4 + 0 + 4 + 1 + 5 + 2 + 7 + 96 + 536 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 85895110531 + ... + 85895111501.

It is an arithmetic number, because the mean of its divisors is an integer number (275286438000).

It is a 1-persistent number, because it is pandigital, but 2⋅83404152796536 = 166808305593072 is not.

Almost surely, 2^{83404152796536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83404152796536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140946656256000).

83404152796536 is an abundant number, since it is smaller than the sum of its proper divisors (198489159715464).

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

83404152796536 is a wasteful number, since it uses less digits than its factorization.

83404152796536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 83404152796536 in words is "eighty-three trillion, four hundred four billion, one hundred fifty-two million, seven hundred ninety-six thousand, five hundred thirty-six".