5871406694400 has 900 divisors, whose sum is σ = 23425967004132. Its totient is φ = 1445163171840.

The previous prime is 5871406694389. The next prime is 5871406694423. The reversal of 5871406694400 is 44966041785.

5871406694400 is a `hidden beast` number, since 5 + 8 + 7 + 140 + 6 + 6 + 94 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2575177629696 + 3296229064704 = 1604736^2 + 1815552^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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

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, 431301994 + ... + 431315606.

Almost surely, 2^{5871406694400} is an apocalyptic number.

5871406694400 is a gapful number since it is divisible by the number (50) 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 5871406694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11712983502066).

5871406694400 is an abundant number, since it is smaller than the sum of its proper divisors (17554560309732).

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

5871406694400 is a wasteful number, since it uses less digits than its factorization.

5871406694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13676 (or 13636 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 5871406694400 in words is "five trillion, eight hundred seventy-one billion, four hundred six million, six hundred ninety-four thousand, four hundred".