253972828961280 has 1920 divisors, whose sum is σ = 1114317724101120. Its totient is φ = 54361541836800.

The previous prime is 253972828961273. The next prime is 253972828961309. The reversal of 253972828961280 is 82169828279352.

It is a happy number.

253972828961280 is a `hidden beast` number, since 2 + 5 + 3 + 9 + 7 + 2 + 8 + 289 + 61 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 253972828961199 and 253972828961208.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2500641700 + ... + 2500743260.

It is an arithmetic number, because the mean of its divisors is an integer number (580373814636).

Almost surely, 2^{253972828961280} is an apocalyptic number.

253972828961280 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 253972828961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557158862050560).

253972828961280 is an abundant number, since it is smaller than the sum of its proper divisors (860344895139840).

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

253972828961280 is a wasteful number, since it uses less digits than its factorization.

253972828961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101651 (or 101618 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 253972828961280 in words is "two hundred fifty-three trillion, nine hundred seventy-two billion, eight hundred twenty-eight million, nine hundred sixty-one thousand, two hundred eighty".