90480062626800 has 480 divisors, whose sum is σ = 361728726165504. Its totient is φ = 18781670784000.

The previous prime is 90480062626799. The next prime is 90480062626867. The reversal of 90480062626800 is 862626008409.

90480062626800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89216167 + ... + 90224633.

Almost surely, 2^{90480062626800} 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 90480062626800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180864363082752).

90480062626800 is an abundant number, since it is smaller than the sum of its proper divisors (271248663538704).

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

90480062626800 is a wasteful number, since it uses less digits than its factorization.

90480062626800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009477 (or 1009466 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 90480062626800 in words is "ninety trillion, four hundred eighty billion, sixty-two million, six hundred twenty-six thousand, eight hundred".