16274252298240 has 2304 divisors, whose sum is σ = 66299090457600. Its totient is φ = 3806261673984.

The previous prime is 16274252298229. The next prime is 16274252298281. The reversal of 16274252298240 is 4289225247261.

16274252298240 is a `hidden beast` number, since 1 + 6 + 2 + 7 + 4 + 2 + 522 + 98 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 41836123966 + ... + 41836124354.

It is an arithmetic number, because the mean of its divisors is an integer number (28775646900).

Almost surely, 2^{16274252298240} is an apocalyptic number.

16274252298240 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 16274252298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33149545228800).

16274252298240 is an abundant number, since it is smaller than the sum of its proper divisors (50024838159360).

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

16274252298240 is a wasteful number, since it uses less digits than its factorization.

16274252298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 16274252298240 in words is "sixteen trillion, two hundred seventy-four billion, two hundred fifty-two million, two hundred ninety-eight thousand, two hundred forty".