253219999426560 has 384 divisors, whose sum is σ = 901717309584000. Its totient is φ = 67405353320448.

The previous prime is 253219999426547. The next prime is 253219999426567. The reversal of 253219999426560 is 65624999912352.

253219999426560 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 19 + 9 + 9 + 9 + 42 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (253219999426567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154844856 + ... + 156471624.

It is an arithmetic number, because the mean of its divisors is an integer number (2348222160375).

Almost surely, 2^{253219999426560} is an apocalyptic number.

253219999426560 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 253219999426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450858654792000).

253219999426560 is an abundant number, since it is smaller than the sum of its proper divisors (648497310157440).

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

253219999426560 is a wasteful number, since it uses less digits than its factorization.

253219999426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627368 (or 1627342 counting only the distinct ones).

The product of its (nonzero) digits is 566870400, while the sum is 72.

The spelling of 253219999426560 in words is "two hundred fifty-three trillion, two hundred nineteen billion, nine hundred ninety-nine million, four hundred twenty-six thousand, five hundred sixty".