1010887781904 has 1440 divisors, whose sum is σ = 4042822492800. Its totient is φ = 231500021760.

The previous prime is 1010887781899. The next prime is 1010887781909. The reversal of 1010887781904 is 4091877880101.

It is an interprime number because it is at equal distance from previous prime (1010887781899) and next prime (1010887781909).

It is not an unprimeable number, because it can be changed into a prime (1010887781909) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5237760432 + ... + 5237760624.

It is an arithmetic number, because the mean of its divisors is an integer number (2807515620).

Almost surely, 2^{1010887781904} is an apocalyptic number.

1010887781904 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 1010887781904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021411246400).

1010887781904 is an abundant number, since it is smaller than the sum of its proper divisors (3031934710896).

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

1010887781904 is a wasteful number, since it uses less digits than its factorization.

1010887781904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 54.

The spelling of 1010887781904 in words is "one trillion, ten billion, eight hundred eighty-seven million, seven hundred eighty-one thousand, nine hundred four".