153768288960 has 1344 divisors, whose sum is σ = 670742392320. Its totient is φ = 31770869760.

The previous prime is 153768288959. The next prime is 153768288977. The reversal of 153768288960 is 69882867351.

153768288960 is a `hidden beast` number, since 1 + 537 + 6 + 8 + 2 + 8 + 8 + 96 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 336473052 + ... + 336473508.

It is an arithmetic number, because the mean of its divisors is an integer number (499064280).

Almost surely, 2^153768288960 is an apocalyptic number.

153768288960 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 153768288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335371196160).

153768288960 is an abundant number, since it is smaller than the sum of its proper divisors (516974103360).

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

153768288960 is a wasteful number, since it uses less digits than its factorization.

153768288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 153768288960 in words is "one hundred fifty-three billion, seven hundred sixty-eight million, two hundred eighty-eight thousand, nine hundred sixty".