5078086041600 has 2880 divisors, whose sum is σ = 23208472896000. Its totient is φ = 1076546764800.

The previous prime is 5078086041599. The next prime is 5078086041607. The reversal of 5078086041600 is 61406808705.

It is a happy number.

5078086041600 is a `hidden beast` number, since 507 + 8 + 0 + 86 + 0 + 4 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5078086041607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 267267686391 + ... + 267267686409.

Almost surely, 2^{5078086041600} is an apocalyptic number.

5078086041600 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 5078086041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11604236448000).

5078086041600 is an abundant number, since it is smaller than the sum of its proper divisors (18130386854400).

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

5078086041600 is a wasteful number, since it uses less digits than its factorization.

5078086041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 5078086041600 in words is "five trillion, seventy-eight billion, eighty-six million, forty-one thousand, six hundred".