52190906826240 has 3200 divisors, whose sum is σ = 256453975895040. Its totient is φ = 9817342083072.

The previous prime is 52190906826239. The next prime is 52190906826241. The reversal of 52190906826240 is 4262860909125.

52190906826240 is a `hidden beast` number, since 5 + 2 + 1 + 9 + 0 + 9 + 0 + 6 + 8 + 2 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52190906826239) and next prime (52190906826241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52190906826241) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6094928199 + ... + 6094936761.

Almost surely, 2^{52190906826240} 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 52190906826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128226987947520).

52190906826240 is an abundant number, since it is smaller than the sum of its proper divisors (204263069068800).

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

52190906826240 is a wasteful number, since it uses less digits than its factorization.

52190906826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8654 (or 8629 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 52190906826240 in words is "fifty-two trillion, one hundred ninety billion, nine hundred six million, eight hundred twenty-six thousand, two hundred forty".