52763400289600 has 1344 divisors, whose sum is σ = 186038012805120. Its totient is φ = 14174266982400.

The previous prime is 52763400289559. The next prime is 52763400289681. The reversal of 52763400289600 is 698200436725.

It is a super-2 number, since 2×52763400289600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3457846771 + ... + 3457862029.

It is an arithmetic number, because the mean of its divisors is an integer number (138421140480).

Almost surely, 2^{52763400289600} is an apocalyptic number.

52763400289600 is a gapful number since it is divisible by the number (50) 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 52763400289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93019006402560).

52763400289600 is an abundant number, since it is smaller than the sum of its proper divisors (133274612515520).

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

52763400289600 is a wasteful number, since it uses less digits than its factorization.

52763400289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15456 (or 15441 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 52763400289600 in words is "fifty-two trillion, seven hundred sixty-three billion, four hundred million, two hundred eighty-nine thousand, six hundred".