90143966250 has 360 divisors, whose sum is σ = 279926129340. Its totient is φ = 20876544000.

The previous prime is 90143966219. The next prime is 90143966323. The reversal of 90143966250 is 5266934109.

90143966250 is a `hidden beast` number, since 9 + 0 + 1 + 4 + 396 + 6 + 250 = 666.

It can be written as a sum of positive squares in 30 ways, for example, as 81025053201 + 9118913049 = 284649^2 + 95493^2 .

It is a super-2 number, since 2×90143966250² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90143966196 and 90143966205.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 32319856 + ... + 32322644.

Almost surely, 2^90143966250 is an apocalyptic number.

90143966250 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90143966250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139963064670).

90143966250 is an abundant number, since it is smaller than the sum of its proper divisors (189782163090).

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

90143966250 is a wasteful number, since it uses less digits than its factorization.

90143966250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 90143966250 in words is "ninety billion, one hundred forty-three million, nine hundred sixty-six thousand, two hundred fifty".