157838284800 has 720 divisors, whose sum is σ = 668236448880. Its totient is φ = 36070686720.

The previous prime is 157838284759. The next prime is 157838284811. The reversal of 157838284800 is 8482838751.

157838284800 is a `hidden beast` number, since 1 + 5 + 7 + 83 + 82 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×157838284800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29027682 + ... + 29033118.

It is an arithmetic number, because the mean of its divisors is an integer number (928106179).

Almost surely, 2^157838284800 is an apocalyptic number.

157838284800 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 157838284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334118224440).

157838284800 is an abundant number, since it is smaller than the sum of its proper divisors (510398164080).

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

157838284800 is an equidigital number, since it uses as much as digits as its factorization.

157838284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 157838284800 in words is "one hundred fifty-seven billion, eight hundred thirty-eight million, two hundred eighty-four thousand, eight hundred".