270796097510400 has 3168 divisors, whose sum is σ = 1160048380723200. Its totient is φ = 55078797312000.

The previous prime is 270796097510371. The next prime is 270796097510461. The reversal of 270796097510400 is 4015790697072.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 584872780569 + ... + 584872781031.

Almost surely, 2^{270796097510400} is an apocalyptic number.

270796097510400 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 270796097510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580024190361600).

270796097510400 is an abundant number, since it is smaller than the sum of its proper divisors (889252283212800).

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

270796097510400 is a wasteful number, since it uses less digits than its factorization.

270796097510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 57.

The spelling of 270796097510400 in words is "two hundred seventy trillion, seven hundred ninety-six billion, ninety-seven million, five hundred ten thousand, four hundred".