157685780314880 has 288 divisors, whose sum is σ = 407508898406400. Its totient is φ = 58279220084736.

The previous prime is 157685780314879. The next prime is 157685780314889. The reversal of 157685780314880 is 88413087586751.

157685780314880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (157685780314889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181797104 + ... + 182662416.

It is an arithmetic number, because the mean of its divisors is an integer number (1414961452800).

Almost surely, 2^{157685780314880} is an apocalyptic number.

157685780314880 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 157685780314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203754449203200).

157685780314880 is an abundant number, since it is smaller than the sum of its proper divisors (249823118091520).

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

157685780314880 is a wasteful number, since it uses less digits than its factorization.

157685780314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865539 (or 865525 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 71.

The spelling of 157685780314880 in words is "one hundred fifty-seven trillion, six hundred eighty-five billion, seven hundred eighty million, three hundred fourteen thousand, eight hundred eighty".