157687488000 has 1440 divisors, whose sum is σ = 683039193408. Its totient is φ = 34836480000.

The previous prime is 157687487989. The next prime is 157687488001. The reversal of 157687488000 is 884786751.

It is a happy number.

157687488000 is a `hidden beast` number, since 15 + 76 + 87 + 488 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157687488001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1044287925 + ... + 1044288075.

Almost surely, 2^157687488000 is an apocalyptic number.

157687488000 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 157687488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341519596704).

157687488000 is an abundant number, since it is smaller than the sum of its proper divisors (525351705408).

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

157687488000 is a wasteful number, since it uses less digits than its factorization.

157687488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 157687488000 in words is "one hundred fifty-seven billion, six hundred eighty-seven million, four hundred eighty-eight thousand".