13253875727400 has 960 divisors, whose sum is σ = 57843977748480. Its totient is φ = 2732333990400.

The previous prime is 13253875727371. The next prime is 13253875727419. The reversal of 13253875727400 is 472757835231.

13253875727400 is a `hidden beast` number, since 1 + 3 + 25 + 3 + 8 + 7 + 572 + 7 + 40 + 0 = 666.

It is a super-2 number, since 2×13253875727400² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 158377969 + ... + 158461631.

It is an arithmetic number, because the mean of its divisors is an integer number (60254143488).

Almost surely, 2^{13253875727400} is an apocalyptic number.

13253875727400 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 13253875727400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28921988874240).

13253875727400 is an abundant number, since it is smaller than the sum of its proper divisors (44590102021080).

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

13253875727400 is a wasteful number, since it uses less digits than its factorization.

13253875727400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83836 (or 83818 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 13253875727400 in words is "thirteen trillion, two hundred fifty-three billion, eight hundred seventy-five million, seven hundred twenty-seven thousand, four hundred".