1005020087742 has 96 divisors (see below), whose sum is σ = 2479507130880. Its totient is φ = 291225274560.

The previous prime is 1005020087741. The next prime is 1005020087749. The reversal of 1005020087742 is 2477800205001.

1005020087742 is a `hidden beast` number, since 1 + 0 + 0 + 502 + 0 + 0 + 87 + 74 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1005020087697 and 1005020087706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005020087741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16532559 + ... + 16593237.

It is an arithmetic number, because the mean of its divisors is an integer number (25828199280).

Almost surely, 2^{1005020087742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005020087742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239753565440).

1005020087742 is an abundant number, since it is smaller than the sum of its proper divisors (1474487043138).

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

1005020087742 is a wasteful number, since it uses less digits than its factorization.

1005020087742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64358 (or 64355 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 1005020087742 in words is "one trillion, five billion, twenty million, eighty-seven thousand, seven hundred forty-two".