10554559142400 has 1440 divisors, whose sum is σ = 47746634103168. Its totient is φ = 2166629990400.

The previous prime is 10554559142299. The next prime is 10554559142461. The reversal of 10554559142400 is 424195545501.

10554559142400 is a `hidden beast` number, since 1 + 0 + 5 + 54 + 5 + 59 + 142 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×10554559142400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 387864795 + ... + 387892005.

Almost surely, 2^{10554559142400} is an apocalyptic number.

10554559142400 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 10554559142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23873317051584).

10554559142400 is an abundant number, since it is smaller than the sum of its proper divisors (37192074960768).

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

10554559142400 is a wasteful number, since it uses less digits than its factorization.

10554559142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27302 (or 27278 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 10554559142400 in words is "ten trillion, five hundred fifty-four billion, five hundred fifty-nine million, one hundred forty-two thousand, four hundred".