5146839896640 has 1792 divisors, whose sum is σ = 19655392296960. Its totient is φ = 1130480271360.

The previous prime is 5146839896623. The next prime is 5146839896641. The reversal of 5146839896640 is 466989386415.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (5146839896641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 53060205072 + ... + 53060205168.

It is an arithmetic number, because the mean of its divisors is an integer number (10968410880).

Almost surely, 2^{5146839896640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5146839896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9827696148480).

5146839896640 is an abundant number, since it is smaller than the sum of its proper divisors (14508552400320).

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

5146839896640 is a wasteful number, since it uses less digits than its factorization.

5146839896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 69.

The spelling of 5146839896640 in words is "five trillion, one hundred forty-six billion, eight hundred thirty-nine million, eight hundred ninety-six thousand, six hundred forty".