253587351628156 has 288 divisors, whose sum is σ = 575824795475328. Its totient is φ = 96802774548480.

The previous prime is 253587351628147. The next prime is 253587351628231. The reversal of 253587351628156 is 651826153785352.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 253587351628091 and 253587351628100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3479912401 + ... + 3479985271.

It is an arithmetic number, because the mean of its divisors is an integer number (1999391650956).

Almost surely, 2^{253587351628156} is an apocalyptic number.

253587351628156 is a gapful number since it is divisible by the number (26) 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 253587351628156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287912397737664).

253587351628156 is an abundant number, since it is smaller than the sum of its proper divisors (322237443847172).

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

253587351628156 is a wasteful number, since it uses less digits than its factorization.

253587351628156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73381 (or 73372 counting only the distinct ones).

The product of its digits is 362880000, while the sum is 67.

The spelling of 253587351628156 in words is "two hundred fifty-three trillion, five hundred eighty-seven billion, three hundred fifty-one million, six hundred twenty-eight thousand, one hundred fifty-six".