153030394485936 has 2400 divisors, whose sum is σ = 547200544923648. Its totient is φ = 41098337280000.

The previous prime is 153030394485919. The next prime is 153030394485971. The reversal of 153030394485936 is 639584493030351.

153030394485936 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 3 + 0 + 39 + 4 + 4 + 8 + 593 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 293724365356 + ... + 293724365876.

Almost surely, 2^{153030394485936} is an apocalyptic number.

153030394485936 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 153030394485936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273600272461824).

153030394485936 is an abundant number, since it is smaller than the sum of its proper divisors (394170150437712).

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

153030394485936 is a wasteful number, since it uses less digits than its factorization.

153030394485936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 63.

The spelling of 153030394485936 in words is "one hundred fifty-three trillion, thirty billion, three hundred ninety-four million, four hundred eighty-five thousand, nine hundred thirty-six".