10132883640 has 288 divisors, whose sum is σ = 37182075840. Its totient is φ = 2389685760.

The previous prime is 10132883627. The next prime is 10132883659. The reversal of 10132883640 is 4638823101.

10132883640 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 8 + 8 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10132883595 and 10132883604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1608577 + ... + 1614863.

It is an arithmetic number, because the mean of its divisors is an integer number (129104430).

Almost surely, 2^10132883640 is an apocalyptic number.

10132883640 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 10132883640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18591037920).

10132883640 is an abundant number, since it is smaller than the sum of its proper divisors (27049192200).

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

10132883640 is a wasteful number, since it uses less digits than its factorization.

10132883640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6363 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10132883640 in words is "ten billion, one hundred thirty-two million, eight hundred eighty-three thousand, six hundred forty".