157766345820928 has 576 divisors, whose sum is σ = 385064954265600. Its totient is φ = 63714687713280.

The previous prime is 157766345820917. The next prime is 157766345820931. The reversal of 157766345820928 is 829028543667751.

It is a super-3 number, since 3×157766345820928³ (a number of 44 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 31408786225 + ... + 31408791247.

It is an arithmetic number, because the mean of its divisors is an integer number (668515545600).

It is a 1-persistent number, because it is pandigital, but 2⋅157766345820928 = 315532691641856 is not.

Almost surely, 2^{157766345820928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157766345820928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192532477132800).

157766345820928 is an abundant number, since it is smaller than the sum of its proper divisors (227298608444672).

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

157766345820928 is a wasteful number, since it uses less digits than its factorization.

157766345820928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 73.

The spelling of 157766345820928 in words is "one hundred fifty-seven trillion, seven hundred sixty-six billion, three hundred forty-five million, eight hundred twenty thousand, nine hundred twenty-eight".