16274132160 has 504 divisors, whose sum is σ = 61573775760. Its totient is φ = 3637370880.

The previous prime is 16274132153. The next prime is 16274132177. The reversal of 16274132160 is 6123147261.

It is a super-2 number, since 2×16274132160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 71 ways as a sum of consecutive naturals, for example, 19630626 + ... + 19631454.

It is an arithmetic number, because the mean of its divisors is an integer number (122170190).

Almost surely, 2^16274132160 is an apocalyptic number.

16274132160 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 16274132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30786887880).

16274132160 is an abundant number, since it is smaller than the sum of its proper divisors (45299643600).

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

16274132160 is a wasteful number, since it uses less digits than its factorization.

16274132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 16274132160 in words is "sixteen billion, two hundred seventy-four million, one hundred thirty-two thousand, one hundred sixty".