90060383952 has 960 divisors, whose sum is σ = 349417635840. Its totient is φ = 21751027200.

The previous prime is 90060383921. The next prime is 90060383953. The reversal of 90060383952 is 25938306009.

90060383952 is a `hidden beast` number, since 9 + 0 + 0 + 603 + 8 + 39 + 5 + 2 = 666.

It is a super-2 number, since 2×90060383952² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90060383898 and 90060383907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90060383953) 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, 403858113 + ... + 403858335.

It is an arithmetic number, because the mean of its divisors is an integer number (363976704).

Almost surely, 2^90060383952 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 90060383952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174708817920).

90060383952 is an abundant number, since it is smaller than the sum of its proper divisors (259357251888).

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

90060383952 is a wasteful number, since it uses less digits than its factorization.

90060383952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 90060383952 in words is "ninety billion, sixty million, three hundred eighty-three thousand, nine hundred fifty-two".