157306787020800 has 1080 divisors, whose sum is σ = 571013392829880. Its totient is φ = 41391489024000.

The previous prime is 157306787020787. The next prime is 157306787020843. The reversal of 157306787020800 is 8020787603751.

157306787020800 is a `hidden beast` number, since 1 + 57 + 306 + 7 + 87 + 0 + 208 + 0 + 0 = 666.

157306787020800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 13868414337024 + 143438372683776 = 3724032^2 + 11976576^2 .

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 71 ways as a sum of consecutive naturals, for example, 152281497084 + ... + 152281498116.

Almost surely, 2^{157306787020800} is an apocalyptic number.

157306787020800 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 157306787020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285506696414940).

157306787020800 is an abundant number, since it is smaller than the sum of its proper divisors (413706605809080).

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

157306787020800 is a wasteful number, since it uses less digits than its factorization.

157306787020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 157306787020800 in words is "one hundred fifty-seven trillion, three hundred six billion, seven hundred eighty-seven million, twenty thousand, eight hundred".