157785264000 has 768 divisors, whose sum is σ = 697468786560. Its totient is φ = 33288192000.

The previous prime is 157785263981. The next prime is 157785264041. The reversal of 157785264000 is 462587751.

157785264000 is a `hidden beast` number, since 1 + 57 + 78 + 526 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13097980 + ... + 13110020.

Almost surely, 2^157785264000 is an apocalyptic number.

157785264000 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 157785264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348734393280).

157785264000 is an abundant number, since it is smaller than the sum of its proper divisors (539683522560).

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

157785264000 is a wasteful number, since it uses less digits than its factorization.

157785264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12096 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 157785264000 in words is "one hundred fifty-seven billion, seven hundred eighty-five million, two hundred sixty-four thousand".