10067811876000 has 576 divisors, whose sum is σ = 37998204360480. Its totient is φ = 2515754188800.

The previous prime is 10067811875987. The next prime is 10067811876029. The reversal of 10067811876000 is 67811876001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 520527618576 + 9547284257424 = 721476^2 + 3089868^2 .

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140112082 + ... + 140183918.

Almost surely, 2^{10067811876000} is an apocalyptic number.

10067811876000 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 10067811876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18999102180240).

10067811876000 is an abundant number, since it is smaller than the sum of its proper divisors (27930392484480).

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

10067811876000 is a wasteful number, since it uses less digits than its factorization.

10067811876000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72114 (or 72093 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

Subtracting from 10067811876000 its reverse (67811876001), we obtain a palindrome (9999999999999).

The spelling of 10067811876000 in words is "ten trillion, sixty-seven billion, eight hundred eleven million, eight hundred seventy-six thousand".