1004811799680 has 1024 divisors, whose sum is σ = 3934110297600. Its totient is φ = 240869376000.

The previous prime is 1004811799661. The next prime is 1004811799709. The reversal of 1004811799680 is 869971184001.

1004811799680 is a `hidden beast` number, since 1 + 0 + 0 + 481 + 1 + 79 + 96 + 8 + 0 = 666.

1004811799680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 1520138550 + ... + 1520139210.

Almost surely, 2^{1004811799680} is an apocalyptic number.

1004811799680 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 1004811799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967055148800).

1004811799680 is an abundant number, since it is smaller than the sum of its proper divisors (2929298497920).

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

1004811799680 is a wasteful number, since it uses less digits than its factorization.

1004811799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 1004811799680 in words is "one trillion, four billion, eight hundred eleven million, seven hundred ninety-nine thousand, six hundred eighty".