527620385952 has 192 divisors, whose sum is σ = 1681576243200. Its totient is φ = 159619818240.

The previous prime is 527620385951. The next prime is 527620385959. The reversal of 527620385952 is 259583026725.

It is a happy number.

527620385952 is a `hidden beast` number, since 5 + 2 + 7 + 620 + 3 + 8 + 5 + 9 + 5 + 2 = 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 (527620385951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5723199 + ... + 5814657.

It is an arithmetic number, because the mean of its divisors is an integer number (8758209600).

Almost surely, 2^527620385952 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 527620385952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840788121600).

527620385952 is an abundant number, since it is smaller than the sum of its proper divisors (1153955857248).

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

527620385952 is a wasteful number, since it uses less digits than its factorization.

527620385952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92096 (or 92082 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 527620385952 in words is "five hundred twenty-seven billion, six hundred twenty million, three hundred eighty-five thousand, nine hundred fifty-two".