5330951967744 has 880 divisors, whose sum is σ = 17988115799808. Its totient is φ = 1561454641152.

The previous prime is 5330951967703. The next prime is 5330951967787. The reversal of 5330951967744 is 4477691590335.

It is a happy number.

5330951967744 is a `hidden beast` number, since 5 + 3 + 3 + 0 + 9 + 519 + 6 + 77 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1875113587 + ... + 1875116429.

Almost surely, 2^{5330951967744} is an apocalyptic number.

5330951967744 is a gapful number since it is divisible by the number (54) 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 5330951967744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994057899904).

5330951967744 is an abundant number, since it is smaller than the sum of its proper divisors (12657163832064).

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

5330951967744 is a wasteful number, since it uses less digits than its factorization.

5330951967744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 5330951967744 in words is "five trillion, three hundred thirty billion, nine hundred fifty-one million, nine hundred sixty-seven thousand, seven hundred forty-four".