90038108160 has 1536 divisors, whose sum is σ = 425950237440. Its totient is φ = 16986931200.

The previous prime is 90038108159. The next prime is 90038108161. The reversal of 90038108160 is 6180183009.

It is an interprime number because it is at equal distance from previous prime (90038108159) and next prime (90038108161).

It is a tau number, because it is divible by the number of its divisors (1536).

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 (90038108161) 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, 1476034530 + ... + 1476034590.

Almost surely, 2^90038108160 is an apocalyptic number.

90038108160 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 90038108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212975118720).

90038108160 is an abundant number, since it is smaller than the sum of its proper divisors (335912129280).

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

90038108160 is a wasteful number, since it uses less digits than its factorization.

90038108160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 90038108160 in words is "ninety billion, thirty-eight million, one hundred eight thousand, one hundred sixty".