153293829696 has 420 divisors, whose sum is σ = 535361692800. Its totient is φ = 43238168064.

The previous prime is 153293829671. The next prime is 153293829739. The reversal of 153293829696 is 696928392351.

153293829696 is a `hidden beast` number, since 1 + 53 + 293 + 8 + 296 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20063445 + ... + 20071083.

Almost surely, 2^153293829696 is an apocalyptic number.

153293829696 is a gapful number since it is divisible by the number (16) 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 153293829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267680846400).

153293829696 is an abundant number, since it is smaller than the sum of its proper divisors (382067863104).

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

153293829696 is an equidigital number, since it uses as much as digits as its factorization.

153293829696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7756 (or 7730 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 153293829696 in words is "one hundred fifty-three billion, two hundred ninety-three million, eight hundred twenty-nine thousand, six hundred ninety-six".