275713229457900 has 432 divisors, whose sum is σ = 937964866718880. Its totient is φ = 67337223782400.

The previous prime is 275713229457833. The next prime is 275713229457907. The reversal of 275713229457900 is 9754922317572.

It is a happy number.

275713229457900 is a `hidden beast` number, since 2 + 7 + 5 + 7 + 1 + 32 + 29 + 4 + 579 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (275713229457907) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10252216854 + ... + 10252243746.

Almost surely, 2^{275713229457900} is an apocalyptic number.

275713229457900 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 275713229457900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468982433359440).

275713229457900 is an abundant number, since it is smaller than the sum of its proper divisors (662251637260980).

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

275713229457900 is a wasteful number, since it uses less digits than its factorization.

275713229457900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33746 (or 33736 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 275713229457900 in words is "two hundred seventy-five trillion, seven hundred thirteen billion, two hundred twenty-nine million, four hundred fifty-seven thousand, nine hundred".