253536895088064 has 840 divisors, whose sum is σ = 878692089480480. Its totient is φ = 72284150421504.

The previous prime is 253536895088023. The next prime is 253536895088083. The reversal of 253536895088064 is 460880598635352.

253536895088064 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 36 + 8 + 9 + 508 + 80 + 6 + 4 = 666.

It is a super-3 number, since 3×253536895088064³ (a number of 44 digits) contains 333 as substring.

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 = 253536895087983 and 253536895088001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44347888534 + ... + 44347894250.

Almost surely, 2^{253536895088064} is an apocalyptic number.

253536895088064 is a gapful number since it is divisible by the number (24) 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 253536895088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439346044740240).

253536895088064 is an abundant number, since it is smaller than the sum of its proper divisors (625155194392416).

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

253536895088064 is an frugal number, since it uses more digits than its factorization.

253536895088064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6285 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 1492992000, while the sum is 72.

The spelling of 253536895088064 in words is "two hundred fifty-three trillion, five hundred thirty-six billion, eight hundred ninety-five million, eighty-eight thousand, sixty-four".