187981405920 has 1152 divisors, whose sum is σ = 874409582592. Its totient is φ = 35566387200.

The previous prime is 187981405867. The next prime is 187981405921. The reversal of 187981405920 is 29504189781.

It is a happy number.

187981405920 is a `hidden beast` number, since 1 + 8 + 7 + 9 + 8 + 1 + 40 + 592 + 0 = 666.

It is a super-2 number, since 2×187981405920² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187981405921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58432152 + ... + 58435368.

It is an arithmetic number, because the mean of its divisors is an integer number (759036096).

Almost surely, 2^187981405920 is an apocalyptic number.

187981405920 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 187981405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437204791296).

187981405920 is an abundant number, since it is smaller than the sum of its proper divisors (686428176672).

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

187981405920 is a wasteful number, since it uses less digits than its factorization.

187981405920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 187981405920 in words is "one hundred eighty-seven billion, nine hundred eighty-one million, four hundred five thousand, nine hundred twenty".