253187907840 has 2160 divisors, whose sum is σ = 1153736781120. Its totient is φ = 52672757760.

The previous prime is 253187907793. The next prime is 253187907857. The reversal of 253187907840 is 48709781352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4150621410 + ... + 4150621470.

Almost surely, 2^253187907840 is an apocalyptic number.

253187907840 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 253187907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576868390560).

253187907840 is an abundant number, since it is smaller than the sum of its proper divisors (900548873280).

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

253187907840 is a wasteful number, since it uses less digits than its factorization.

253187907840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 253187907840 in words is "two hundred fifty-three billion, one hundred eighty-seven million, nine hundred seven thousand, eight hundred forty".