157665949200 has 300 divisors, whose sum is σ = 599137852500. Its totient is φ = 39570923520.

The previous prime is 157665949159. The next prime is 157665949223. The reversal of 157665949200 is 2949566751.

157665949200 is a `hidden beast` number, since 1 + 576 + 6 + 5 + 9 + 49 + 20 + 0 = 666.

157665949200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6024243456 + 151641705744 = 77616^2 + 389412^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 407676 + ... + 693924.

It is an arithmetic number, because the mean of its divisors is an integer number (1997126175).

Almost surely, 2^157665949200 is an apocalyptic number.

157665949200 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 157665949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299568926250).

157665949200 is an abundant number, since it is smaller than the sum of its proper divisors (441471903300).

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

157665949200 is a wasteful number, since it uses less digits than its factorization.

157665949200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286296 (or 286276 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 157665949200 in words is "one hundred fifty-seven billion, six hundred sixty-five million, nine hundred forty-nine thousand, two hundred".