16166252678400 has 1512 divisors, whose sum is σ = 65746914740640. Its totient is φ = 3901188096000.

The previous prime is 16166252678383. The next prime is 16166252678461. The reversal of 16166252678400 is 487625266161.

16166252678400 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 6 + 2 + 526 + 78 + 40 + 0 = 666.

It is a super-2 number, since 2×16166252678400² (a number of 27 digits) contains 22 as substring.

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 167 ways as a sum of consecutive naturals, for example, 13805509815 + ... + 13805510985.

It is an arithmetic number, because the mean of its divisors is an integer number (43483409220).

Almost surely, 2^{16166252678400} is an apocalyptic number.

16166252678400 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 16166252678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32873457370320).

16166252678400 is an abundant number, since it is smaller than the sum of its proper divisors (49580662062240).

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

16166252678400 is a wasteful number, since it uses less digits than its factorization.

16166252678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 16166252678400 in words is "sixteen trillion, one hundred sixty-six billion, two hundred fifty-two million, six hundred seventy-eight thousand, four hundred".