253768895520 has 384 divisors, whose sum is σ = 966368600064. Its totient is φ = 54721142784.

The previous prime is 253768895509. The next prime is 253768895531. The reversal of 253768895520 is 25598867352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253768895509) and next prime (253768895531).

It is a super-3 number, since 3×253768895520³ (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5618949 + ... + 5663931.

It is an arithmetic number, because the mean of its divisors is an integer number (2516584896).

Almost surely, 2^253768895520 is an apocalyptic number.

253768895520 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 253768895520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483184300032).

253768895520 is an abundant number, since it is smaller than the sum of its proper divisors (712599704544).

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

253768895520 is a wasteful number, since it uses less digits than its factorization.

253768895520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45104 (or 45096 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 253768895520 in words is "two hundred fifty-three billion, seven hundred sixty-eight million, eight hundred ninety-five thousand, five hundred twenty".