5345972835840 has 4800 divisors, whose sum is σ = 26443376087040. Its totient is φ = 1006157168640.

The previous prime is 5345972835761. The next prime is 5345972835893. The reversal of 5345972835840 is 485382795435.

5345972835840 is a `hidden beast` number, since 5 + 3 + 4 + 597 + 2 + 8 + 35 + 8 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 144485752302 + ... + 144485752338.

Almost surely, 2^{5345972835840} 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 5345972835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13221688043520).

5345972835840 is an abundant number, since it is smaller than the sum of its proper divisors (21097403251200).

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

5345972835840 is a wasteful number, since it uses less digits than its factorization.

5345972835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 5345972835840 in words is "five trillion, three hundred forty-five billion, nine hundred seventy-two million, eight hundred thirty-five thousand, eight hundred forty".