11276760098400 has 288 divisors, whose sum is σ = 36995523697440. Its totient is φ = 2983489044480.

The previous prime is 11276760098399. The next prime is 11276760098419. The reversal of 11276760098400 is 489006767211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172740966 + ... + 172806234.

It is an arithmetic number, because the mean of its divisors is an integer number (128456679505).

Almost surely, 2^{11276760098400} is an apocalyptic number.

11276760098400 is a gapful number since it is divisible by the number (10) 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 11276760098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18497761848720).

11276760098400 is an abundant number, since it is smaller than the sum of its proper divisors (25718763599040).

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

11276760098400 is a wasteful number, since it uses less digits than its factorization.

11276760098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65858 (or 65845 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 11276760098400 in words is "eleven trillion, two hundred seventy-six billion, seven hundred sixty million, ninety-eight thousand, four hundred".