13642512998400 has 3024 divisors, whose sum is σ = 60455544222528. Its totient is φ = 3009871872000.

The previous prime is 13642512998399. The next prime is 13642512998441. The reversal of 13642512998400 is 489921524631.

It is a happy number.

13642512998400 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 25 + 129 + 98 + 400 = 666.

It is a super-2 number, since 2×13642512998400² (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 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, 192148070365 + ... + 192148070435.

It is an arithmetic number, because the mean of its divisors is an integer number (19991912772).

Almost surely, 2^{13642512998400} is an apocalyptic number.

13642512998400 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 13642512998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30227772111264).

13642512998400 is an abundant number, since it is smaller than the sum of its proper divisors (46813031224128).

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

13642512998400 is an frugal number, since it uses more digits than its factorization.

13642512998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 13642512998400 in words is "thirteen trillion, six hundred forty-two billion, five hundred twelve million, nine hundred ninety-eight thousand, four hundred".