157284084561600 has 672 divisors, whose sum is σ = 544278165110784. Its totient is φ = 39686098636800.

The previous prime is 157284084561581. The next prime is 157284084561613. The reversal of 157284084561600 is 6165480482751.

157284084561600 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11177882565 + ... + 11177896635.

Almost surely, 2^{157284084561600} is an apocalyptic number.

157284084561600 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 157284084561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272139082555392).

157284084561600 is an abundant number, since it is smaller than the sum of its proper divisors (386994080549184).

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

157284084561600 is a wasteful number, since it uses less digits than its factorization.

157284084561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15205 (or 15190 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 157284084561600 in words is "one hundred fifty-seven trillion, two hundred eighty-four billion, eighty-four million, five hundred sixty-one thousand, six hundred".