1104657868800 has 1152 divisors, whose sum is σ = 4240978560000. Its totient is φ = 281522995200.

The previous prime is 1104657868799. The next prime is 1104657868837. The reversal of 1104657868800 is 88687564011.

It is a happy number.

1104657868800 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 6 + 578 + 68 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6385305514 + ... + 6385305686.

It is an arithmetic number, because the mean of its divisors is an integer number (3681405000).

Almost surely, 2^{1104657868800} is an apocalyptic number.

1104657868800 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 1104657868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120489280000).

1104657868800 is an abundant number, since it is smaller than the sum of its proper divisors (3136320691200).

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

1104657868800 is a wasteful number, since it uses less digits than its factorization.

1104657868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1104657868800 in words is "one trillion, one hundred four billion, six hundred fifty-seven million, eight hundred sixty-eight thousand, eight hundred".