1010668259520 has 672 divisors, whose sum is σ = 3883329515520. Its totient is φ = 249464033280.

The previous prime is 1010668259443. The next prime is 1010668259539. The reversal of 1010668259520 is 259528660101.

1010668259520 is a `hidden beast` number, since 1 + 0 + 10 + 6 + 68 + 2 + 59 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 55433766 + ... + 55451994.

It is an arithmetic number, because the mean of its divisors is an integer number (5778764160).

Almost surely, 2^{1010668259520} is an apocalyptic number.

1010668259520 is a gapful number since it is divisible by the number (10) 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 1010668259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941664757760).

1010668259520 is an abundant number, since it is smaller than the sum of its proper divisors (2872661256000).

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

1010668259520 is a wasteful number, since it uses less digits than its factorization.

1010668259520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18315 (or 18293 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1010668259520 in words is "one trillion, ten billion, six hundred sixty-eight million, two hundred fifty-nine thousand, five hundred twenty".