52766900398080 has 1152 divisors, whose sum is σ = 205355158968960. Its totient is φ = 12420490199040.

The previous prime is 52766900398049. The next prime is 52766900398099. The reversal of 52766900398080 is 8089300966725.

52766900398080 is a `hidden beast` number, since 5 + 27 + 66 + 90 + 0 + 398 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 52766900397999 and 52766900398017.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7541357142 + ... + 7541364138.

It is an arithmetic number, because the mean of its divisors is an integer number (178259686605).

Almost surely, 2^{52766900398080} 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 52766900398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102677579484480).

52766900398080 is an abundant number, since it is smaller than the sum of its proper divisors (152588258570880).

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

52766900398080 is a wasteful number, since it uses less digits than its factorization.

52766900398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7257 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 52766900398080 in words is "fifty-two trillion, seven hundred sixty-six billion, nine hundred million, three hundred ninety-eight thousand, eighty".