153495447225120 has 2304 divisors, whose sum is σ = 726905906528256. Its totient is φ = 28455432192000.

The previous prime is 153495447225047. The next prime is 153495447225229. The reversal of 153495447225120 is 21522744594351.

153495447225120 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 9 + 54 + 4 + 72 + 2 + 512 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 45265538625 + ... + 45265542015.

It is an arithmetic number, because the mean of its divisors is an integer number (315497355264).

Almost surely, 2^{153495447225120} is an apocalyptic number.

153495447225120 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 153495447225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363452953264128).

153495447225120 is an abundant number, since it is smaller than the sum of its proper divisors (573410459303136).

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

153495447225120 is a wasteful number, since it uses less digits than its factorization.

153495447225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 153495447225120 in words is "one hundred fifty-three trillion, four hundred ninety-five billion, four hundred forty-seven million, two hundred twenty-five thousand, one hundred twenty".