5851006672896 has 448 divisors, whose sum is σ = 21612852034560. Its totient is φ = 1519737569280.

The previous prime is 5851006672891. The next prime is 5851006672937. The reversal of 5851006672896 is 6982766001585.

5851006672896 is a `hidden beast` number, since 5 + 8 + 510 + 0 + 6 + 6 + 7 + 28 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5851006672891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16859395 + ... + 17202941.

Almost surely, 2^{5851006672896} is an apocalyptic number.

5851006672896 is a gapful number since it is divisible by the number (56) 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 5851006672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10806426017280).

5851006672896 is an abundant number, since it is smaller than the sum of its proper divisors (15761845361664).

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

5851006672896 is a wasteful number, since it uses less digits than its factorization.

5851006672896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343600 (or 343570 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 5851006672896 in words is "five trillion, eight hundred fifty-one billion, six million, six hundred seventy-two thousand, eight hundred ninety-six".