157826378880 has 512 divisors, whose sum is σ = 623020896000. Its totient is φ = 37525192704.

The previous prime is 157826378849. The next prime is 157826378893. The reversal of 157826378880 is 88873628751.

157826378880 is a `hidden beast` number, since 1 + 578 + 26 + 37 + 8 + 8 + 8 + 0 = 666.

157826378880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5567302 + ... + 5595578.

Almost surely, 2^157826378880 is an apocalyptic number.

157826378880 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 157826378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311510448000).

157826378880 is an abundant number, since it is smaller than the sum of its proper divisors (465194517120).

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

157826378880 is a wasteful number, since it uses less digits than its factorization.

157826378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28341 (or 28323 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 157826378880 in words is "one hundred fifty-seven billion, eight hundred twenty-six million, three hundred seventy-eight thousand, eight hundred eighty".