523787077860480 has 640 divisors, whose sum is σ = 2140852715717760. Its totient is φ = 119549443276800.

The previous prime is 523787077860451. The next prime is 523787077860481. The reversal of 523787077860480 is 84068770787325.

It is a happy number.

523787077860480 is a `hidden beast` number, since 5 + 2 + 3 + 7 + 8 + 7 + 0 + 7 + 7 + 8 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 523787077860399 and 523787077860408.

It is not an unprimeable number, because it can be changed into a prime (523787077860481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249705640 + ... + 251794520.

It is an arithmetic number, because the mean of its divisors is an integer number (3345082368309).

Almost surely, 2^{523787077860480} 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 523787077860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070426357858880).

523787077860480 is an abundant number, since it is smaller than the sum of its proper divisors (1617065637857280).

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

523787077860480 is a wasteful number, since it uses less digits than its factorization.

523787077860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089610 (or 2089589 counting only the distinct ones).

The product of its (nonzero) digits is 885104640, while the sum is 72.

The spelling of 523787077860480 in words is "five hundred twenty-three trillion, seven hundred eighty-seven billion, seventy-seven million, eight hundred sixty thousand, four hundred eighty".