157973889427200 has 1944 divisors, whose sum is σ = 731217407007360. Its totient is φ = 32825071411200.

The previous prime is 157973889427177. The next prime is 157973889427201. The reversal of 157973889427200 is 2724988379751.

It is a happy number.

157973889427200 is a `hidden beast` number, since 1 + 5 + 7 + 97 + 38 + 89 + 427 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157973889427201) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 3233236371 + ... + 3233285229.

Almost surely, 2^{157973889427200} is an apocalyptic number.

157973889427200 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 157973889427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365608703503680).

157973889427200 is an abundant number, since it is smaller than the sum of its proper divisors (573243517580160).

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

157973889427200 is an frugal number, since it uses more digits than its factorization.

157973889427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48927 (or 48887 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 157973889427200 in words is "one hundred fifty-seven trillion, nine hundred seventy-three billion, eight hundred eighty-nine million, four hundred twenty-seven thousand, two hundred".