166825729440 has 384 divisors, whose sum is σ = 605650348800. Its totient is φ = 42837258240.

The previous prime is 166825729423. The next prime is 166825729489. The reversal of 166825729440 is 44927528661.

166825729440 is a `hidden beast` number, since 1 + 6 + 68 + 2 + 572 + 9 + 4 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52741299 + ... + 52744461.

It is an arithmetic number, because the mean of its divisors is an integer number (1577214450).

Almost surely, 2^166825729440 is an apocalyptic number.

166825729440 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 166825729440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302825174400).

166825729440 is an abundant number, since it is smaller than the sum of its proper divisors (438824619360).

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

166825729440 is a wasteful number, since it uses less digits than its factorization.

166825729440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3623 counting only the distinct ones).

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

The spelling of 166825729440 in words is "one hundred sixty-six billion, eight hundred twenty-five million, seven hundred twenty-nine thousand, four hundred forty".