90525234240 has 504 divisors, whose sum is σ = 365129137152. Its totient is φ = 20524492800.

The previous prime is 90525234223. The next prime is 90525234251. The reversal of 90525234240 is 4243252509.

90525234240 is a `hidden beast` number, since 9 + 0 + 52 + 523 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 90525234195 and 90525234204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17919715 + ... + 17924765.

Almost surely, 2^90525234240 is an apocalyptic number.

90525234240 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 90525234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182564568576).

90525234240 is an abundant number, since it is smaller than the sum of its proper divisors (274603902912).

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

90525234240 is a wasteful number, since it uses less digits than its factorization.

90525234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 90525234240 its reverse (4243252509), we get a palindrome (94768486749).

The spelling of 90525234240 in words is "ninety billion, five hundred twenty-five million, two hundred thirty-four thousand, two hundred forty".