253266099840 has 1024 divisors, whose sum is σ = 997520832000. Its totient is φ = 60346073088.

The previous prime is 253266099833. The next prime is 253266099869. The reversal of 253266099840 is 48990662352.

It is a happy number.

253266099840 is a `hidden beast` number, since 2 + 5 + 3 + 26 + 609 + 9 + 8 + 4 + 0 = 666.

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

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, 1285614622 + ... + 1285614818.

Almost surely, 2^253266099840 is an apocalyptic number.

253266099840 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 253266099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498760416000).

253266099840 is an abundant number, since it is smaller than the sum of its proper divisors (744254732160).

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

253266099840 is a wasteful number, since it uses less digits than its factorization.

253266099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 253266099840 in words is "two hundred fifty-three billion, two hundred sixty-six million, ninety-nine thousand, eight hundred forty".