153315529920 has 840 divisors, whose sum is σ = 639508646304. Its totient is φ = 34153684992.

The previous prime is 153315529907. The next prime is 153315529921. The reversal of 153315529920 is 29925513351.

153315529920 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 1 + 552 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (153315529921) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 335482332 + ... + 335482788.

Almost surely, 2^153315529920 is an apocalyptic number.

153315529920 is a gapful number since it is divisible by the number (10) 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 153315529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319754323152).

153315529920 is an abundant number, since it is smaller than the sum of its proper divisors (486193116384).

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

153315529920 is an equidigital number, since it uses as much as digits as its factorization.

153315529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 153315529920 in words is "one hundred fifty-three billion, three hundred fifteen million, five hundred twenty-nine thousand, nine hundred twenty".