90127420416 has 176 divisors, whose sum is σ = 291179690880. Its totient is φ = 27311247360.

The previous prime is 90127420387. The next prime is 90127420441. The reversal of 90127420416 is 61402472109.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×90127420416² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155955 + ... + 452301.

Almost surely, 2^90127420416 is an apocalyptic number.

90127420416 is a gapful number since it is divisible by the number (96) 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 90127420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145589845440).

90127420416 is an abundant number, since it is smaller than the sum of its proper divisors (201052270464).

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

90127420416 is a wasteful number, since it uses less digits than its factorization.

90127420416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296387 (or 296363 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 90127420416 in words is "ninety billion, one hundred twenty-seven million, four hundred twenty thousand, four hundred sixteen".