11858788961280 has 264 divisors, whose sum is σ = 41098568709744. Its totient is φ = 3161714688000.

The previous prime is 11858788961179. The next prime is 11858788961291. The reversal of 11858788961280 is 8216988785811.

11858788961280 is a `hidden beast` number, since 1 + 18 + 587 + 8 + 8 + 9 + 6 + 1 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11858788961199 and 11858788961208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260375310 + ... + 260420850.

Almost surely, 2^{11858788961280} is an apocalyptic number.

11858788961280 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 11858788961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20549284354872).

11858788961280 is an abundant number, since it is smaller than the sum of its proper divisors (29239779748464).

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

11858788961280 is a wasteful number, since it uses less digits than its factorization.

11858788961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51223 (or 51202 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 72.

The spelling of 11858788961280 in words is "eleven trillion, eight hundred fifty-eight billion, seven hundred eighty-eight million, nine hundred sixty-one thousand, two hundred eighty".