33561090090 has 384 divisors, whose sum is σ = 105890084352. Its totient is φ = 7274741760.

The previous prime is 33561090083. The next prime is 33561090091. The reversal of 33561090090 is 9009016533.

33561090090 is a `hidden beast` number, since 3 + 3 + 561 + 0 + 9 + 0 + 0 + 90 = 666.

It is a super-2 number, since 2×33561090090² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33561090091) 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, 107223774 + ... + 107224086.

It is an arithmetic number, because the mean of its divisors is an integer number (275755428).

Almost surely, 2^33561090090 is an apocalyptic number.

33561090090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33561090090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52945042176).

33561090090 is an abundant number, since it is smaller than the sum of its proper divisors (72328994262).

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

33561090090 is a wasteful number, since it uses less digits than its factorization.

33561090090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The spelling of 33561090090 in words is "thirty-three billion, five hundred sixty-one million, ninety thousand, ninety".