10086636780 has 480 divisors, whose sum is σ = 37546629120. Its totient is φ = 2241820800.

The previous prime is 10086636757. The next prime is 10086636803. The reversal of 10086636780 is 8763668001.

10086636780 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 6 + 636 + 7 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10086636757) and next prime (10086636803).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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 159 ways as a sum of consecutive naturals, for example, 325375365 + ... + 325375395.

It is an arithmetic number, because the mean of its divisors is an integer number (78222144).

Almost surely, 2^10086636780 is an apocalyptic number.

10086636780 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 10086636780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18773314560).

10086636780 is an abundant number, since it is smaller than the sum of its proper divisors (27459992340).

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

10086636780 is a wasteful number, since it uses less digits than its factorization.

10086636780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10086636780 in words is "ten billion, eighty-six million, six hundred thirty-six thousand, seven hundred eighty".