253649249280 has 352 divisors, whose sum is σ = 1030202369280. Its totient is φ = 57976750080.

The previous prime is 253649249279. The next prime is 253649249311. The reversal of 253649249280 is 82942946352.

253649249280 is a `hidden beast` number, since 2 + 5 + 3 + 64 + 92 + 492 + 8 + 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 31 ways as a sum of consecutive naturals, for example, 836620 + ... + 1098740.

Almost surely, 2^253649249280 is an apocalyptic number.

253649249280 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 253649249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515101184640).

253649249280 is an abundant number, since it is smaller than the sum of its proper divisors (776553120000).

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

253649249280 is a wasteful number, since it uses less digits than its factorization.

253649249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262162 (or 262138 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 253649249280 in words is "two hundred fifty-three billion, six hundred forty-nine million, two hundred forty-nine thousand, two hundred eighty".