52825297674240 has 2688 divisors, whose sum is σ = 240971460387840. Its totient is φ = 10392944246784.

The previous prime is 52825297674203. The next prime is 52825297674241. The reversal of 52825297674240 is 4247679252825.

52825297674240 is a `hidden beast` number, since 5 + 2 + 8 + 2 + 529 + 7 + 67 + 4 + 2 + 40 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52825297674241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42704362902 + ... + 42704364138.

It is an arithmetic number, because the mean of its divisors is an integer number (89647120680).

Almost surely, 2^{52825297674240} 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 52825297674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120485730193920).

52825297674240 is an abundant number, since it is smaller than the sum of its proper divisors (188146162713600).

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

52825297674240 is a wasteful number, since it uses less digits than its factorization.

52825297674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 52825297674240 in words is "fifty-two trillion, eight hundred twenty-five billion, two hundred ninety-seven million, six hundred seventy-four thousand, two hundred forty".