11780406720 has 504 divisors, whose sum is σ = 43673255808. Its totient is φ = 3023308800.

The previous prime is 11780406719. The next prime is 11780406763. The reversal of 11780406720 is 2760408711.

It is a super-3 number, since 3×11780406720³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65085030 + ... + 65085210.

Almost surely, 2^11780406720 is an apocalyptic number.

11780406720 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 11780406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21836627904).

11780406720 is an abundant number, since it is smaller than the sum of its proper divisors (31892849088).

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

11780406720 is an frugal number, since it uses more digits than its factorization.

11780406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 11780406720 in words is "eleven billion, seven hundred eighty million, four hundred six thousand, seven hundred twenty".