90687435965280 has 4608 divisors, whose sum is σ = 431057023488000. Its totient is φ = 17457256857600.

The previous prime is 90687435965257. The next prime is 90687435965281. The reversal of 90687435965280 is 8256953478609.

It is a happy number.

90687435965280 is a `hidden beast` number, since 9 + 0 + 6 + 8 + 7 + 4 + 3 + 5 + 96 + 528 + 0 = 666.

It is a super-2 number, since 2×90687435965280² (a number of 29 digits) contains 22 as substring.

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 = 90687435965199 and 90687435965208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90687435965281) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 259849386546 + ... + 259849386894.

It is an arithmetic number, because the mean of its divisors is an integer number (93545361000).

Almost surely, 2^{90687435965280} is an apocalyptic number.

90687435965280 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 90687435965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215528511744000).

90687435965280 is an abundant number, since it is smaller than the sum of its proper divisors (340369587522720).

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

90687435965280 is a wasteful number, since it uses less digits than its factorization.

90687435965280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 90687435965280 in words is "ninety trillion, six hundred eighty-seven billion, four hundred thirty-five million, nine hundred sixty-five thousand, two hundred eighty".