15840132000 has 1152 divisors, whose sum is σ = 68836884480. Its totient is φ = 3144960000.

The previous prime is 15840131987. The next prime is 15840132029. The reversal of 15840132000 is 23104851.

It is a super-3 number, since 3×15840132000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 200507961 + ... + 200508039.

It is an arithmetic number, because the mean of its divisors is an integer number (59754240).

Almost surely, 2^15840132000 is an apocalyptic number.

15840132000 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 15840132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34418442240).

15840132000 is an abundant number, since it is smaller than the sum of its proper divisors (52996752480).

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

15840132000 is a wasteful number, since it uses less digits than its factorization.

15840132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 15840132000 its reverse (23104851), we get a palindrome (15863236851).

The spelling of 15840132000 in words is "fifteen billion, eight hundred forty million, one hundred thirty-two thousand".