90061945600 has 324 divisors, whose sum is σ = 257963081320. Its totient is φ = 31021056000.

The previous prime is 90061945573. The next prime is 90061945607. The reversal of 90061945600 is 654916009.

It is a super-2 number, since 2×90061945600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (90061945607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14710540 + ... + 14716660.

Almost surely, 2^90061945600 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 90061945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128981540660).

90061945600 is an abundant number, since it is smaller than the sum of its proper divisors (167901135720).

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

90061945600 is a wasteful number, since it uses less digits than its factorization.

90061945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 90061945600 in words is "ninety billion, sixty-one million, nine hundred forty-five thousand, six hundred".