13275497705400 has 864 divisors, whose sum is σ = 53871999002640. Its totient is φ = 3029397719040.

The previous prime is 13275497705387. The next prime is 13275497705419. The reversal of 13275497705400 is 450779457231.

13275497705400 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 5 + 4 + 97 + 7 + 0 + 540 + 0 = 666.

13275497705400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1555049932 + ... + 1555058468.

Almost surely, 2^{13275497705400} is an apocalyptic number.

13275497705400 is a gapful number since it is divisible by the number (10) 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 13275497705400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26935999501320).

13275497705400 is an abundant number, since it is smaller than the sum of its proper divisors (40596501297240).

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

13275497705400 is a wasteful number, since it uses less digits than its factorization.

13275497705400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9235 (or 9207 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 13275497705400 in words is "thirteen trillion, two hundred seventy-five billion, four hundred ninety-seven million, seven hundred five thousand, four hundred".