153085151878560 has 2304 divisors, whose sum is σ = 631487840256000. Its totient is φ = 33391927296000.

The previous prime is 153085151878543. The next prime is 153085151878627. The reversal of 153085151878560 is 65878151580351.

153085151878560 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 8 + 51 + 5 + 18 + 7 + 8 + 560 = 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, 46123876581 + ... + 46123879899.

It is an arithmetic number, because the mean of its divisors is an integer number (274083264000).

Almost surely, 2^{153085151878560} is an apocalyptic number.

153085151878560 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 153085151878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315743920128000).

153085151878560 is an abundant number, since it is smaller than the sum of its proper divisors (478402688377440).

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

153085151878560 is a wasteful number, since it uses less digits than its factorization.

153085151878560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 40320000, while the sum is 63.

The spelling of 153085151878560 in words is "one hundred fifty-three trillion, eighty-five billion, one hundred fifty-one million, eight hundred seventy-eight thousand, five hundred sixty".