157729682880 has 2016 divisors, whose sum is σ = 751290059520. Its totient is φ = 29912924160.

The previous prime is 157729682867. The next prime is 157729682881. The reversal of 157729682880 is 88286927751.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×157729682880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157729682881) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1134745851 + ... + 1134745989.

It is an arithmetic number, because the mean of its divisors is an integer number (372663720).

Almost surely, 2^157729682880 is an apocalyptic number.

157729682880 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 157729682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375645029760).

157729682880 is an abundant number, since it is smaller than the sum of its proper divisors (593560376640).

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

157729682880 is a wasteful number, since it uses less digits than its factorization.

157729682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 157729682880 in words is "one hundred fifty-seven billion, seven hundred twenty-nine million, six hundred eighty-two thousand, eight hundred eighty".