90505024380 has 576 divisors, whose sum is σ = 310084669440. Its totient is φ = 22097028096.

The previous prime is 90505024369. The next prime is 90505024391. The reversal of 90505024380 is 8342050509.

It is an interprime number because it is at equal distance from previous prime (90505024369) and next prime (90505024391).

It is a super-4 number, since 4×90505024380⁴ (a number of 45 digits) contains 4444 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 326732802 + ... + 326733078.

It is an arithmetic number, because the mean of its divisors is an integer number (538341440).

Almost surely, 2^90505024380 is an apocalyptic number.

90505024380 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 90505024380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155042334720).

90505024380 is an abundant number, since it is smaller than the sum of its proper divisors (219579645060).

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

90505024380 is a wasteful number, since it uses less digits than its factorization.

90505024380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 90505024380 its reverse (8342050509), we get a palindrome (98847074889).

The spelling of 90505024380 in words is "ninety billion, five hundred five million, twenty-four thousand, three hundred eighty".