10011720677904 has 320 divisors, whose sum is σ = 31451573160960. Its totient is φ = 3024024192000.

The previous prime is 10011720677899. The next prime is 10011720677909. The reversal of 10011720677904 is 40977602711001.

It is an interprime number because it is at equal distance from previous prime (10011720677899) and next prime (10011720677909).

It is a self number, because there is not a number n which added to its sum of digits gives 10011720677904.

It is not an unprimeable number, because it can be changed into a prime (10011720677909) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2803616439 + ... + 2803620009.

It is an arithmetic number, because the mean of its divisors is an integer number (98286166128).

Almost surely, 2^{10011720677904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011720677904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15725786580480).

10011720677904 is an abundant number, since it is smaller than the sum of its proper divisors (21439852483056).

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

10011720677904 is a wasteful number, since it uses less digits than its factorization.

10011720677904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5347 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 10011720677904 in words is "ten trillion, eleven billion, seven hundred twenty million, six hundred seventy-seven thousand, nine hundred four".