157828608000 has 1248 divisors, whose sum is σ = 681729721920. Its totient is φ = 35920281600.

The previous prime is 157828607957. The next prime is 157828608019. The reversal of 157828608000 is 806828751.

157828608000 is a `hidden beast` number, since 15 + 7 + 8 + 28 + 608 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 677375884 + ... + 677376116.

It is an arithmetic number, because the mean of its divisors is an integer number (546257790).

Almost surely, 2^157828608000 is an apocalyptic number.

157828608000 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 157828608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340864860960).

157828608000 is an abundant number, since it is smaller than the sum of its proper divisors (523901113920).

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

157828608000 is an equidigital number, since it uses as much as digits as its factorization.

157828608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 157828608000 in words is "one hundred fifty-seven billion, eight hundred twenty-eight million, six hundred eight thousand".