1100058863904 has 864 divisors, whose sum is σ = 4288726128960. Its totient is φ = 262918656000.

The previous prime is 1100058863903. The next prime is 1100058863923. The reversal of 1100058863904 is 4093688500011.

1100058863904 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 0 + 5 + 8 + 8 + 639 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1100058863904.

It is not an unprimeable number, because it can be changed into a prime (1100058863903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 845548054 + ... + 845549354.

It is an arithmetic number, because the mean of its divisors is an integer number (4963803390).

Almost surely, 2^{1100058863904} is an apocalyptic number.

1100058863904 is a gapful number since it is divisible by the number (14) 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 1100058863904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144363064480).

1100058863904 is an abundant number, since it is smaller than the sum of its proper divisors (3188667265056).

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

1100058863904 is a wasteful number, since it uses less digits than its factorization.

1100058863904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1100058863904 in words is "one trillion, one hundred billion, fifty-eight million, eight hundred sixty-three thousand, nine hundred four".