15542633216400 has 240 divisors, whose sum is σ = 50078741422080. Its totient is φ = 4120568640000.

The previous prime is 15542633216377. The next prime is 15542633216441. The reversal of 15542633216400 is 461233624551.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200928931 + ... + 201006269.

It is an arithmetic number, because the mean of its divisors is an integer number (208661422592).

Almost surely, 2^{15542633216400} is an apocalyptic number.

15542633216400 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 15542633216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25039370711040).

15542633216400 is an abundant number, since it is smaller than the sum of its proper divisors (34536108205680).

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

15542633216400 is a wasteful number, since it uses less digits than its factorization.

15542633216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78334 (or 78323 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 15542633216400 in words is "fifteen trillion, five hundred forty-two billion, six hundred thirty-three million, two hundred sixteen thousand, four hundred".