90276211200 has 960 divisors, whose sum is σ = 363263535360. Its totient is φ = 19322634240.

The previous prime is 90276211199. The next prime is 90276211211. The reversal of 90276211200 is 211267209.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288422244 + ... + 288422556.

It is an arithmetic number, because the mean of its divisors is an integer number (378399516).

Almost surely, 2^90276211200 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 90276211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181631767680).

90276211200 is an abundant number, since it is smaller than the sum of its proper divisors (272987324160).

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

90276211200 is a wasteful number, since it uses less digits than its factorization.

90276211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

Adding to 90276211200 its reverse (211267209), we get a palindrome (90487478409).

It can be divided in two parts, 90276 and 211200, that added together give a triangular number (301476 = T₇₇₆).

The spelling of 90276211200 in words is "ninety billion, two hundred seventy-six million, two hundred eleven thousand, two hundred".