253501989120 has 576 divisors, whose sum is σ = 935344865280. Its totient is φ = 64945152000.

The previous prime is 253501989077. The next prime is 253501989133. The reversal of 253501989120 is 21989105352.

253501989120 is a `hidden beast` number, since 2 + 5 + 350 + 198 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161774577 + ... + 161776143.

Almost surely, 2^253501989120 is an apocalyptic number.

253501989120 is a gapful number since it is divisible by the number (20) 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 253501989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467672432640).

253501989120 is an abundant number, since it is smaller than the sum of its proper divisors (681842876160).

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

253501989120 is a wasteful number, since it uses less digits than its factorization.

253501989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 253501989120 in words is "two hundred fifty-three billion, five hundred one million, nine hundred eighty-nine thousand, one hundred twenty".