275145375632400 has 5760 divisors, whose sum is σ = 1340829514752000. Its totient is φ = 51663196569600.

The previous prime is 275145375632389. The next prime is 275145375632401. The reversal of 275145375632400 is 4236573541572.

275145375632400 is a `hidden beast` number, since 2 + 7 + 5 + 1 + 4 + 5 + 37 + 563 + 2 + 40 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (275145375632401) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 427908826479 + ... + 427908827121.

Almost surely, 2^{275145375632400} is an apocalyptic number.

275145375632400 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 275145375632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670414757376000).

275145375632400 is an abundant number, since it is smaller than the sum of its proper divisors (1065684139119600).

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

275145375632400 is a wasteful number, since it uses less digits than its factorization.

275145375632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 275145375632400 in words is "two hundred seventy-five trillion, one hundred forty-five billion, three hundred seventy-five million, six hundred thirty-two thousand, four hundred".