2159388481536 has 1152 divisors, whose sum is σ = 8003341382400. Its totient is φ = 571875655680.

The previous prime is 2159388481529. The next prime is 2159388481573. The reversal of 2159388481536 is 6351848839512.

2159388481536 is a `hidden beast` number, since 2 + 1 + 5 + 93 + 8 + 8 + 4 + 8 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2159388481536² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1352152290 + ... + 1352153886.

It is an arithmetic number, because the mean of its divisors is an integer number (6947344950).

Almost surely, 2^{2159388481536} is an apocalyptic number.

2159388481536 is a gapful number since it is divisible by the number (26) 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 2159388481536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001670691200).

2159388481536 is an abundant number, since it is smaller than the sum of its proper divisors (5843952900864).

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

2159388481536 is a wasteful number, since it uses less digits than its factorization.

2159388481536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1645 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 2159388481536 in words is "two trillion, one hundred fifty-nine billion, three hundred eighty-eight million, four hundred eighty-one thousand, five hundred thirty-six".