166857873840 has 480 divisors, whose sum is σ = 690580800000. Its totient is φ = 35249541120.

The previous prime is 166857873811. The next prime is 166857873883. The reversal of 166857873840 is 48378758661.

166857873840 is a `hidden beast` number, since 16 + 6 + 8 + 578 + 7 + 3 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3904911 + ... + 3947409.

It is an arithmetic number, because the mean of its divisors is an integer number (1438710000).

Almost surely, 2^166857873840 is an apocalyptic number.

166857873840 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 166857873840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345290400000).

166857873840 is an abundant number, since it is smaller than the sum of its proper divisors (523722926160).

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

166857873840 is a wasteful number, since it uses less digits than its factorization.

166857873840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42585 (or 42576 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 166857873840 in words is "one hundred sixty-six billion, eight hundred fifty-seven million, eight hundred seventy-three thousand, eight hundred forty".