1004265950688 has 576 divisors, whose sum is σ = 3854152253952. Its totient is φ = 239547248640.

The previous prime is 1004265950671. The next prime is 1004265950693. The reversal of 1004265950688 is 8860595624001.

1004265950688 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 6 + 59 + 506 + 88 = 666.

It is a super-2 number, since 2×1004265950688² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56783895 + ... + 56801577.

It is an arithmetic number, because the mean of its divisors is an integer number (6691236552).

Almost surely, 2^{1004265950688} is an apocalyptic number.

1004265950688 is a gapful number since it is divisible by the number (18) 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 1004265950688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927076126976).

1004265950688 is an abundant number, since it is smaller than the sum of its proper divisors (2849886303264).

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

1004265950688 is a wasteful number, since it uses less digits than its factorization.

1004265950688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17927 (or 17916 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 1004265950688 in words is "one trillion, four billion, two hundred sixty-five million, nine hundred fifty thousand, six hundred eighty-eight".