90741381120 has 1152 divisors, whose sum is σ = 367040419200. Its totient is φ = 20554186752.

The previous prime is 90741381077. The next prime is 90741381121. The reversal of 90741381120 is 2118314709.

It is a happy number.

90741381120 is a `hidden beast` number, since 90 + 74 + 1 + 381 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90741381121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1019566036 + ... + 1019566124.

It is an arithmetic number, because the mean of its divisors is an integer number (318611475).

Almost surely, 2^90741381120 is an apocalyptic number.

90741381120 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 90741381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183520209600).

90741381120 is an abundant number, since it is smaller than the sum of its proper divisors (276299038080).

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

90741381120 is a wasteful number, since it uses less digits than its factorization.

90741381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 90741381120 its reverse (2118314709), we get a palindrome (92859695829).

The spelling of 90741381120 in words is "ninety billion, seven hundred forty-one million, three hundred eighty-one thousand, one hundred twenty".