13542365894400 has 972 divisors, whose sum is σ = 57460279046352. Its totient is φ = 3095330734080.

The previous prime is 13542365894329. The next prime is 13542365894479. The reversal of 13542365894400 is 449856324531.

It is a happy number.

13542365894400 is a `hidden beast` number, since 1 + 3 + 54 + 2 + 3 + 6 + 589 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 293909764 + ... + 293955836.

Almost surely, 2^{13542365894400} is an apocalyptic number.

13542365894400 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 13542365894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28730139523176).

13542365894400 is an abundant number, since it is smaller than the sum of its proper divisors (43917913151952).

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

13542365894400 is an frugal number, since it uses more digits than its factorization.

13542365894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46130 (or 46090 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 13542365894400 in words is "thirteen trillion, five hundred forty-two billion, three hundred sixty-five million, eight hundred ninety-four thousand, four hundred".