16126179840 has 280 divisors, whose sum is σ = 57977743428. Its totient is φ = 4299816960.

The previous prime is 16126179793. The next prime is 16126179887. The reversal of 16126179840 is 4897162161.

16126179840 is a `hidden beast` number, since 16 + 12 + 617 + 9 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16126179793) and next prime (16126179887).

It can be written as a sum of positive squares in 2 ways, for example, as 13908900096 + 2217279744 = 117936^2 + 47088^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1861920 + ... + 1870560.

Almost surely, 2^16126179840 is an apocalyptic number.

16126179840 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 16126179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28988871714).

16126179840 is an abundant number, since it is smaller than the sum of its proper divisors (41851563588).

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

16126179840 is an frugal number, since it uses more digits than its factorization.

16126179840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8682 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 16126179840 in words is "sixteen billion, one hundred twenty-six million, one hundred seventy-nine thousand, eight hundred forty".