166957960320 has 128 divisors (see below), whose sum is σ = 591309504000. Its totient is φ = 44522118144.

The previous prime is 166957960307. The next prime is 166957960321. The reversal of 166957960320 is 23069759661.

166957960320 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 5 + 7 + 9 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (166957960321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4813680 + ... + 4848239.

It is an arithmetic number, because the mean of its divisors is an integer number (4619605500).

Almost surely, 2^166957960320 is an apocalyptic number.

166957960320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166957960320 is an abundant number, since it is smaller than the sum of its proper divisors (424351543680).

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

166957960320 is an equidigital number, since it uses as much as digits as its factorization.

166957960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9661947 (or 9661929 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 166957960320 in words is "one hundred sixty-six billion, nine hundred fifty-seven million, nine hundred sixty thousand, three hundred twenty".