527471865591840 has 1920 divisors, whose sum is σ = 2139313814447040. Its totient is φ = 121967365718016.

The previous prime is 527471865591791. The next prime is 527471865591851. The reversal of 527471865591840 is 48195568174725.

527471865591840 is a `hidden beast` number, since 5 + 2 + 7 + 4 + 7 + 18 + 6 + 559 + 18 + 40 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 68320738484496 + 459151127107344 = 8265636^2 + 21427812^2 .

It is a super-2 number, since 2×527471865591840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 482590910334 + ... + 482590911426.

Almost surely, 2^{527471865591840} 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 527471865591840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069656907223520).

527471865591840 is an abundant number, since it is smaller than the sum of its proper divisors (1611841948855200).

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

527471865591840 is a wasteful number, since it uses less digits than its factorization.

527471865591840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 677376000, while the sum is 72.

The spelling of 527471865591840 in words is "five hundred twenty-seven trillion, four hundred seventy-one billion, eight hundred sixty-five million, five hundred ninety-one thousand, eight hundred forty".