1054105539840 has 504 divisors, whose sum is σ = 3802938425160. Its totient is φ = 279810588672.

The previous prime is 1054105539811. The next prime is 1054105539871. The reversal of 1054105539840 is 489355014501.

It is a happy number.

1054105539840 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 1 + 0 + 553 + 98 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 229525311744 + 824580228096 = 479088^2 + 908064^2 .

It is a super-2 number, since 2×1054105539840² (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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 213682014 + ... + 213686946.

Almost surely, 2^{1054105539840} is an apocalyptic number.

1054105539840 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 1054105539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901469212580).

1054105539840 is an abundant number, since it is smaller than the sum of its proper divisors (2748832885320).

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

1054105539840 is an frugal number, since it uses more digits than its factorization.

1054105539840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 1054105539840 in words is "one trillion, fifty-four billion, one hundred five million, five hundred thirty-nine thousand, eight hundred forty".