5261492920320 has 2688 divisors, whose sum is σ = 24060506835456. Its totient is φ = 1073234313216.

The previous prime is 5261492920303. The next prime is 5261492920349. The reversal of 5261492920320 is 230292941625.

5261492920320 is a `hidden beast` number, since 5 + 2 + 614 + 9 + 2 + 9 + 2 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-4 number, since 4×5261492920320⁴ (a number of 52 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33512693682 + ... + 33512693838.

It is an arithmetic number, because the mean of its divisors is an integer number (8951081412).

Almost surely, 2^{5261492920320} 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 5261492920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030253417728).

5261492920320 is an abundant number, since it is smaller than the sum of its proper divisors (18799013915136).

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

5261492920320 is a wasteful number, since it uses less digits than its factorization.

5261492920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 5261492920320 in words is "five trillion, two hundred sixty-one billion, four hundred ninety-two million, nine hundred twenty thousand, three hundred twenty".