157766888240 has 80 divisors (see below), whose sum is σ = 395537059008. Its totient is φ = 58176734208.

The previous prime is 157766888239. The next prime is 157766888249. The reversal of 157766888240 is 42888667751.

157766888240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (157766888249) 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 15 ways as a sum of consecutive naturals, for example, 705797 + ... + 902043.

Almost surely, 2^157766888240 is an apocalyptic number.

157766888240 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 157766888240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197768529504).

157766888240 is an abundant number, since it is smaller than the sum of its proper divisors (237770170768).

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

157766888240 is a wasteful number, since it uses less digits than its factorization.

157766888240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197046 (or 197040 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 62.

The spelling of 157766888240 in words is "one hundred fifty-seven billion, seven hundred sixty-six million, eight hundred eighty-eight thousand, two hundred forty".