851487440025600 has 7776 divisors, whose sum is σ = 4009980811833360. Its totient is φ = 178425204572160.

The previous prime is 851487440025577. The next prime is 851487440025611. The reversal of 851487440025600 is 6520044784158.

851487440025600 is a `hidden beast` number, since 8 + 5 + 1 + 4 + 8 + 7 + 4 + 4 + 0 + 0 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

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 647 ways as a sum of consecutive naturals, for example, 11664211507164 + ... + 11664211507236.

Almost surely, 2^{851487440025600} is an apocalyptic number.

851487440025600 is a gapful number since it is divisible by the number (80) 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 851487440025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004990405916680).

851487440025600 is an abundant number, since it is smaller than the sum of its proper divisors (3158493371807760).

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

851487440025600 is a wasteful number, since it uses less digits than its factorization.

851487440025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 851487440025600 in words is "eight hundred fifty-one trillion, four hundred eighty-seven billion, four hundred forty million, twenty-five thousand, six hundred".