52261894500480 has 2560 divisors, whose sum is σ = 230491293120000. Its totient is φ = 11260655271936.

The previous prime is 52261894500463. The next prime is 52261894500481. The reversal of 52261894500480 is 8400549816225.

52261894500480 is a `hidden beast` number, since 5 + 2 + 2 + 6 + 1 + 8 + 94 + 500 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (52261894500481) 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 319 ways as a sum of consecutive naturals, for example, 22173055462 + ... + 22173057818.

It is an arithmetic number, because the mean of its divisors is an integer number (90035661375).

Almost surely, 2^{52261894500480} 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 52261894500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115245646560000).

52261894500480 is an abundant number, since it is smaller than the sum of its proper divisors (178229398619520).

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

52261894500480 is a wasteful number, since it uses less digits than its factorization.

52261894500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 52261894500480 in words is "fifty-two trillion, two hundred sixty-one billion, eight hundred ninety-four million, five hundred thousand, four hundred eighty".