11745377280 has 528 divisors, whose sum is σ = 50107022784. Its totient is φ = 2477260800.

The previous prime is 11745377243. The next prime is 11745377291. The reversal of 11745377280 is 8277354711.

11745377280 is a `hidden beast` number, since 117 + 453 + 7 + 7 + 2 + 80 = 666.

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

It is a zygodrome in base 4.

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, 4191880 + ... + 4194680.

Almost surely, 2^11745377280 is an apocalyptic number.

11745377280 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 11745377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25053511392).

11745377280 is an abundant number, since it is smaller than the sum of its proper divisors (38361645504).

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

11745377280 is a wasteful number, since it uses less digits than its factorization.

11745377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 11745377280 in words is "eleven billion, seven hundred forty-five million, three hundred seventy-seven thousand, two hundred eighty".