90603014677560 has 1280 divisors, whose sum is σ = 419482147645440. Its totient is φ = 16948737146880.

The previous prime is 90603014677529. The next prime is 90603014677561. The reversal of 90603014677560 is 6577641030609.

It is a happy number.

90603014677560 is a `hidden beast` number, since 9 + 0 + 6 + 0 + 3 + 0 + 1 + 4 + 6 + 77 + 560 = 666.

90603014677560 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 90603014677497 and 90603014677506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90603014677561) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 97082272 + ... + 98011088.

It is an arithmetic number, because the mean of its divisors is an integer number (327720427848).

Almost surely, 2^{90603014677560} is an apocalyptic number.

90603014677560 is a gapful number since it is divisible by the number (90) 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 90603014677560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209741073822720).

90603014677560 is an abundant number, since it is smaller than the sum of its proper divisors (328879132967880).

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

90603014677560 is a wasteful number, since it uses less digits than its factorization.

90603014677560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928898 (or 928885 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 90603014677560 in words is "ninety trillion, six hundred three billion, fourteen million, six hundred seventy-seven thousand, five hundred sixty".