11302714080 has 480 divisors, whose sum is σ = 47069890560. Its totient is φ = 2499517440.

The previous prime is 11302714079. The next prime is 11302714081. The reversal of 11302714080 is 8041720311.

11302714080 = 367³ + 368³ + ... + 501³.

It is an interprime number because it is at equal distance from previous prime (11302714079) and next prime (11302714081).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11302714081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2810311 + ... + 2814329.

It is an arithmetic number, because the mean of its divisors is an integer number (98062272).

Almost surely, 2^11302714080 is an apocalyptic number.

11302714080 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 11302714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23534945280).

11302714080 is an abundant number, since it is smaller than the sum of its proper divisors (35767176480).

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

11302714080 is a wasteful number, since it uses less digits than its factorization.

11302714080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11302714080 in words is "eleven billion, three hundred two million, seven hundred fourteen thousand, eighty".