1054555286400 has 1536 divisors, whose sum is σ = 4837040409600. Its totient is φ = 217976832000.

The previous prime is 1054555286377. The next prime is 1054555286413. The reversal of 1054555286400 is 46825554501.

1054555286400 is a `hidden beast` number, since 1 + 0 + 54 + 5 + 552 + 8 + 6 + 40 + 0 = 666.

It is a super-2 number, since 2×1054555286400² (a number of 25 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 1949270130 + ... + 1949270670.

It is an arithmetic number, because the mean of its divisors is an integer number (3149114850).

Almost surely, 2^{1054555286400} is an apocalyptic number.

1054555286400 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 1054555286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418520204800).

1054555286400 is an abundant number, since it is smaller than the sum of its proper divisors (3782485123200).

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

1054555286400 is a wasteful number, since it uses less digits than its factorization.

1054555286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 1054555286400 in words is "one trillion, fifty-four billion, five hundred fifty-five million, two hundred eighty-six thousand, four hundred".