153250090560 has 896 divisors, whose sum is σ = 654700646400. Its totient is φ = 32965263360.

The previous prime is 153250090531. The next prime is 153250090583. The reversal of 153250090560 is 65090052351.

153250090560 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 5 + 0 + 0 + 90 + 560 = 666.

It is a super-2 number, since 2×153250090560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 221779815 + ... + 221780505.

Almost surely, 2^153250090560 is an apocalyptic number.

153250090560 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 153250090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327350323200).

153250090560 is an abundant number, since it is smaller than the sum of its proper divisors (501450555840).

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

153250090560 is a wasteful number, since it uses less digits than its factorization.

153250090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 153250090560 in words is "one hundred fifty-three billion, two hundred fifty million, ninety thousand, five hundred sixty".