90504929280 has 224 divisors, whose sum is σ = 293947193664. Its totient is φ = 23772266496.

The previous prime is 90504929269. The next prime is 90504929293. The reversal of 90504929280 is 8292940509.

It is a happy number.

It is a super-2 number, since 2×90504929280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8227464 + ... + 8238456.

Almost surely, 2^90504929280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90504929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146973596832).

90504929280 is an abundant number, since it is smaller than the sum of its proper divisors (203442264384).

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

90504929280 is a wasteful number, since it uses less digits than its factorization.

90504929280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11094 (or 11070 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 90504929280 in words is "ninety billion, five hundred four million, nine hundred twenty-nine thousand, two hundred eighty".