270425690046000 has 480 divisors, whose sum is σ = 979820412480000. Its totient is φ = 72089082950400.

The previous prime is 270425690045999. The next prime is 270425690046011. The reversal of 270425690046000 is 640096524072.

270425690046000 is a `hidden beast` number, since 2 + 7 + 0 + 42 + 569 + 0 + 0 + 46 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1457421231 + ... + 1457606769.

It is an arithmetic number, because the mean of its divisors is an integer number (2041292526000).

Almost surely, 2^{270425690046000} is an apocalyptic number.

270425690046000 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 270425690046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489910206240000).

270425690046000 is an abundant number, since it is smaller than the sum of its proper divisors (709394722434000).

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

270425690046000 is a wasteful number, since it uses less digits than its factorization.

270425690046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188576 (or 188548 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 270425690046000 in words is "two hundred seventy trillion, four hundred twenty-five billion, six hundred ninety million, forty-six thousand".