10586978640 has 400 divisors, whose sum is σ = 43384366080. Its totient is φ = 2341509120.

The previous prime is 10586978629. The next prime is 10586978681. The reversal of 10586978640 is 4687968501.

10586978640 is a `hidden beast` number, since 10 + 586 + 9 + 7 + 8 + 6 + 40 = 666.

It is a super-2 number, since 2×10586978640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1402396 + ... + 1409924.

Almost surely, 2^10586978640 is an apocalyptic number.

10586978640 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 10586978640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21692183040).

10586978640 is an abundant number, since it is smaller than the sum of its proper divisors (32797387440).

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

10586978640 is a wasteful number, since it uses less digits than its factorization.

10586978640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7592 (or 7577 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10586978640 in words is "ten billion, five hundred eighty-six million, nine hundred seventy-eight thousand, six hundred forty".