83691159552 has 1260 divisors, whose sum is σ = 342958033656. Its totient is φ = 20065812480.

The previous prime is 83691159551. The next prime is 83691159581. The reversal of 83691159552 is 25595119638.

83691159552 is a `hidden beast` number, since 8 + 36 + 9 + 1 + 1 + 59 + 552 = 666.

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

Its product of digits (2916000) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83691159551) 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 83 ways as a sum of consecutive naturals, for example, 6437781498 + ... + 6437781510.

Almost surely, 2^83691159552 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 83691159552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171479016828).

83691159552 is an abundant number, since it is smaller than the sum of its proper divisors (259266874104).

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

83691159552 is an equidigital number, since it uses as much as digits as its factorization.

83691159552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 54.

The spelling of 83691159552 in words is "eighty-three billion, six hundred ninety-one million, one hundred fifty-nine thousand, five hundred fifty-two".