10027403817984 has 704 divisors, whose sum is σ = 34874099025920. Its totient is φ = 2821916123136.

The previous prime is 10027403817983. The next prime is 10027403818013. The reversal of 10027403817984 is 48971830472001.

10027403817984 is a `hidden beast` number, since 10 + 0 + 2 + 7 + 403 + 81 + 79 + 84 = 666.

10027403817984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10027403817984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10027403817983) 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, 1050315099 + ... + 1050324645.

It is an arithmetic number, because the mean of its divisors is an integer number (49537072480).

Almost surely, 2^{10027403817984} is an apocalyptic number.

10027403817984 is a gapful number since it is divisible by the number (14) 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 10027403817984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17437049512960).

10027403817984 is an abundant number, since it is smaller than the sum of its proper divisors (24846695207936).

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

10027403817984 is an frugal number, since it uses more digits than its factorization.

10027403817984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9662 (or 9626 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 10027403817984 in words is "ten trillion, twenty-seven billion, four hundred three million, eight hundred seventeen thousand, nine hundred eighty-four".