1004907887712 has 192 divisors, whose sum is σ = 3042785088000. Its totient is φ = 322273534464.

The previous prime is 1004907887701. The next prime is 1004907887749. The reversal of 1004907887712 is 2177887094001.

1004907887712 is a `hidden beast` number, since 1 + 0 + 0 + 490 + 7 + 8 + 87 + 71 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7019989 + ... + 7161707.

It is an arithmetic number, because the mean of its divisors is an integer number (15847839000).

Almost surely, 2^{1004907887712} is an apocalyptic number.

1004907887712 is a gapful number since it is divisible by the number (12) 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 1004907887712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521392544000).

1004907887712 is an abundant number, since it is smaller than the sum of its proper divisors (2037877200288).

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

1004907887712 is a wasteful number, since it uses less digits than its factorization.

1004907887712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142050 (or 142036 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 1004907887712 in words is "one trillion, four billion, nine hundred seven million, eight hundred eighty-seven thousand, seven hundred twelve".