153297812530800 has 1680 divisors, whose sum is σ = 653377314889728. Its totient is φ = 33808206643200.

The previous prime is 153297812530789. The next prime is 153297812530883. The reversal of 153297812530800 is 8035218792351.

153297812530800 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 97 + 8 + 12 + 530 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 22336848169 + ... + 22336855031.

Almost surely, 2^{153297812530800} is an apocalyptic number.

153297812530800 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 153297812530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326688657444864).

153297812530800 is an abundant number, since it is smaller than the sum of its proper divisors (500079502358928).

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

153297812530800 is a wasteful number, since it uses less digits than its factorization.

153297812530800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 153297812530800 in words is "one hundred fifty-three trillion, two hundred ninety-seven billion, eight hundred twelve million, five hundred thirty thousand, eight hundred".