158460825600 has 2106 divisors, whose sum is σ = 750740289390. Its totient is φ = 31791513600.

The previous prime is 158460825563. The next prime is 158460825617. The reversal of 158460825600 is 6528064851.

158460825600 is a `hidden beast` number, since 1 + 5 + 8 + 4 + 6 + 0 + 82 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10709766144 + 147751059456 = 103488^2 + 384384^2 .

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 161 ways as a sum of consecutive naturals, for example, 5464166386 + ... + 5464166414.

Almost surely, 2^158460825600 is an apocalyptic number.

158460825600 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 158460825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375370144695).

158460825600 is an abundant number, since it is smaller than the sum of its proper divisors (592279463790).

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

158460825600 is a wasteful number, since it uses less digits than its factorization.

158460825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 158460825600 in words is "one hundred fifty-eight billion, four hundred sixty million, eight hundred twenty-five thousand, six hundred".