15551854406400 has 864 divisors, whose sum is σ = 57359911230720. Its totient is φ = 3684409344000.

The previous prime is 15551854406393. The next prime is 15551854406437. The reversal of 15551854406400 is 460445815551.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 15551854406400.

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 95 ways as a sum of consecutive naturals, for example, 2395907155 + ... + 2395913645.

Almost surely, 2^{15551854406400} is an apocalyptic number.

15551854406400 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 15551854406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28679955615360).

15551854406400 is an abundant number, since it is smaller than the sum of its proper divisors (41808056824320).

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

15551854406400 is a wasteful number, since it uses less digits than its factorization.

15551854406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 48.

The spelling of 15551854406400 in words is "fifteen trillion, five hundred fifty-one billion, eight hundred fifty-four million, four hundred six thousand, four hundred".