1074680851104 has 288 divisors, whose sum is σ = 3561768153216. Its totient is φ = 301040271360.

The previous prime is 1074680851091. The next prime is 1074680851117. The reversal of 1074680851104 is 4011580864701.

1074680851104 is a `hidden beast` number, since 1 + 0 + 7 + 468 + 0 + 85 + 1 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (1074680851091) and next prime (1074680851117).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 1074680851104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20898384 + ... + 20949744.

It is an arithmetic number, because the mean of its divisors is an integer number (12367250532).

Almost surely, 2^{1074680851104} is an apocalyptic number.

1074680851104 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 1074680851104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780884076608).

1074680851104 is an abundant number, since it is smaller than the sum of its proper divisors (2487087302112).

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

1074680851104 is a wasteful number, since it uses less digits than its factorization.

1074680851104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51588 (or 51577 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1074680851104 in words is "one trillion, seventy-four billion, six hundred eighty million, eight hundred fifty-one thousand, one hundred four".