527472019751040 has 3840 divisors, whose sum is σ = 2426952152671200. Its totient is φ = 108145811128320.

The previous prime is 527472019751029. The next prime is 527472019751051. The reversal of 527472019751040 is 40157910274725.

It is a happy number.

527472019751040 is a `hidden beast` number, since 5 + 2 + 7 + 4 + 72 + 0 + 19 + 7 + 510 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (527472019751029) and next prime (527472019751051).

It can be written as a sum of positive squares in 16 ways, for example, as 4573062494784 + 522898957256256 = 2138472^2 + 22866984^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 429187973146 + ... + 429187974374.

Almost surely, 2^{527472019751040} 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 527472019751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213476076335600).

527472019751040 is an abundant number, since it is smaller than the sum of its proper divisors (1899480132920160).

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

527472019751040 is a wasteful number, since it uses less digits than its factorization.

527472019751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 527472019751040 in words is "five hundred twenty-seven trillion, four hundred seventy-two billion, nineteen million, seven hundred fifty-one thousand, forty".