18139216515840 has 2160 divisors, whose sum is σ = 78562369670400. Its totient is φ = 3980276858880.

The previous prime is 18139216515811. The next prime is 18139216515869. The reversal of 18139216515840 is 4851561293181.

18139216515840 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 9 + 2 + 1 + 6 + 51 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18139216515811) and next prime (18139216515869).

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23465997694 + ... + 23465998466.

It is an arithmetic number, because the mean of its divisors is an integer number (36371467440).

Almost surely, 2^{18139216515840} is an apocalyptic number.

18139216515840 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 18139216515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39281184835200).

18139216515840 is an abundant number, since it is smaller than the sum of its proper divisors (60423153154560).

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

18139216515840 is a wasteful number, since it uses less digits than its factorization.

18139216515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 18139216515840 in words is "eighteen trillion, one hundred thirty-nine billion, two hundred sixteen million, five hundred fifteen thousand, eight hundred forty".