1010023009632 has 960 divisors, whose sum is σ = 3800437014528. Its totient is φ = 256048128000.

The previous prime is 1010023009613. The next prime is 1010023009637. The reversal of 1010023009632 is 2369003200101.

1010023009632 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 23 + 0 + 0 + 9 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1010023009596 and 1010023009605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010023009637) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 686622657 + ... + 686624127.

Almost surely, 2^{1010023009632} is an apocalyptic number.

1010023009632 is a gapful number since it is divisible by the number (12) 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 1010023009632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900218507264).

1010023009632 is an abundant number, since it is smaller than the sum of its proper divisors (2790414004896).

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

1010023009632 is a wasteful number, since it uses less digits than its factorization.

1010023009632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 1010023009632 its reverse (2369003200101), we get a palindrome (3379026209733).

The spelling of 1010023009632 in words is "one trillion, ten billion, twenty-three million, nine thousand, six hundred thirty-two".