270112910400 has 504 divisors, whose sum is σ = 984345747840. Its totient is φ = 70219345920.

The previous prime is 270112910383. The next prime is 270112910443. The reversal of 270112910400 is 4019211072.

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 71 ways as a sum of consecutive naturals, for example, 214544971 + ... + 214546229.

It is an arithmetic number, because the mean of its divisors is an integer number (1953066960).

Almost surely, 2^270112910400 is an apocalyptic number.

270112910400 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 270112910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492172873920).

270112910400 is an abundant number, since it is smaller than the sum of its proper divisors (714232837440).

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

270112910400 is a wasteful number, since it uses less digits than its factorization.

270112910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 270112910400 in words is "two hundred seventy billion, one hundred twelve million, nine hundred ten thousand, four hundred".