16187351040 has 1120 divisors, whose sum is σ = 71935262784. Its totient is φ = 3397386240.

The previous prime is 16187351027. The next prime is 16187351053. The reversal of 16187351040 is 4015378161.

16187351040 is a `hidden beast` number, since 1 + 61 + 87 + 3 + 510 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16187351027) and next prime (16187351053).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16187350986 and 16187351004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 394813420 + ... + 394813460.

Almost surely, 2^16187351040 is an apocalyptic number.

16187351040 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 16187351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35967631392).

16187351040 is an abundant number, since it is smaller than the sum of its proper divisors (55747911744).

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

16187351040 is an equidigital number, since it uses as much as digits as its factorization.

16187351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 16187351040 in words is "sixteen billion, one hundred eighty-seven million, three hundred fifty-one thousand, forty".