1007881893552 has 40 divisors (see below), whose sum is σ = 2635064720064. Its totient is φ = 331912911424.

The previous prime is 1007881893503. The next prime is 1007881893611. The reversal of 1007881893552 is 2553981887001.

1007881893552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1007881893552² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1007881893492 and 1007881893501.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126487218 + ... + 126495185.

Almost surely, 2^{1007881893552} is an apocalyptic number.

1007881893552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007881893552 is an abundant number, since it is smaller than the sum of its proper divisors (1627182826512).

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

1007881893552 is a wasteful number, since it uses less digits than its factorization.

1007881893552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252982497 (or 252982491 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 57.

The spelling of 1007881893552 in words is "one trillion, seven billion, eight hundred eighty-one million, eight hundred ninety-three thousand, five hundred fifty-two".