87579490763520 has 1728 divisors, whose sum is σ = 369172270172160. Its totient is φ = 18741885566976.

The previous prime is 87579490763437. The next prime is 87579490763521. The reversal of 87579490763520 is 2536709497578.

87579490763520 is a `hidden beast` number, since 8 + 7 + 5 + 7 + 9 + 4 + 90 + 7 + 6 + 3 + 520 = 666.

87579490763520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (87579490763521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 557831151282 + ... + 557831151438.

Almost surely, 2^{87579490763520} is an apocalyptic number.

87579490763520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87579490763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184586135086080).

87579490763520 is an abundant number, since it is smaller than the sum of its proper divisors (281592779408640).

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

87579490763520 is an equidigital number, since it uses as much as digits as its factorization.

87579490763520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 72.

The spelling of 87579490763520 in words is "eighty-seven trillion, five hundred seventy-nine billion, four hundred ninety million, seven hundred sixty-three thousand, five hundred twenty".