11302087680 has 704 divisors, whose sum is σ = 45669388800. Its totient is φ = 2627665920.

The previous prime is 11302087651. The next prime is 11302087681. The reversal of 11302087680 is 8678020311.

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

It is not an unprimeable number, because it can be changed into a prime (11302087681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34145115 + ... + 34145445.

Almost surely, 2^11302087680 is an apocalyptic number.

11302087680 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 11302087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22834694400).

11302087680 is an abundant number, since it is smaller than the sum of its proper divisors (34367301120).

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

11302087680 is a wasteful number, since it uses less digits than its factorization.

11302087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11302087680 in words is "eleven billion, three hundred two million, eighty-seven thousand, six hundred eighty".