5435888962896 has 640 divisors, whose sum is σ = 19339905024000. Its totient is φ = 1426625519616.

The previous prime is 5435888962883. The next prime is 5435888962921. The reversal of 5435888962896 is 6982698885345.

5435888962896 is a `hidden beast` number, since 5 + 4 + 3 + 588 + 8 + 9 + 6 + 28 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 375425385 + ... + 375439863.

It is an arithmetic number, because the mean of its divisors is an integer number (30218601600).

Almost surely, 2^{5435888962896} is an apocalyptic number.

5435888962896 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 5435888962896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9669952512000).

5435888962896 is an abundant number, since it is smaller than the sum of its proper divisors (13904016061104).

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

5435888962896 is a wasteful number, since it uses less digits than its factorization.

5435888962896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14696 (or 14684 counting only the distinct ones).

The product of its digits is 7166361600, while the sum is 81.

The spelling of 5435888962896 in words is "five trillion, four hundred thirty-five billion, eight hundred eighty-eight million, nine hundred sixty-two thousand, eight hundred ninety-six".