6011632556880 has 480 divisors, whose sum is σ = 20699440151040. Its totient is φ = 1439058170880.

The previous prime is 6011632556879. The next prime is 6011632556957. The reversal of 6011632556880 is 886552361106.

It is a happy number.

It is a super-2 number, since 2×6011632556880² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258098035 + ... + 258121325.

It is an arithmetic number, because the mean of its divisors is an integer number (43123833648).

Almost surely, 2^{6011632556880} is an apocalyptic number.

6011632556880 is a gapful number since it is divisible by the number (60) 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 6011632556880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10349720075520).

6011632556880 is an abundant number, since it is smaller than the sum of its proper divisors (14687807594160).

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

6011632556880 is a wasteful number, since it uses less digits than its factorization.

6011632556880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23479 (or 23450 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 6011632556880 in words is "six trillion, eleven billion, six hundred thirty-two million, five hundred fifty-six thousand, eight hundred eighty".