6011975520 has 480 divisors, whose sum is σ = 22498705152. Its totient is φ = 1515013632.

The previous prime is 6011975507. The next prime is 6011975527. The reversal of 6011975520 is 255791106.

6011975520 is a `hidden beast` number, since 6 + 0 + 11 + 97 + 552 + 0 = 666.

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

It is a super-2 number, since 2×6011975520² = 72287699306158540800, which contains 22 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 not an unprimeable number, because it can be changed into a prime (6011975527) 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, 72433399 + ... + 72433481.

Almost surely, 2^6011975520 is an apocalyptic number.

6011975520 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 6011975520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249352576).

6011975520 is an abundant number, since it is smaller than the sum of its proper divisors (16486729632).

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

6011975520 is an frugal number, since it uses more digits than its factorization.

6011975520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 6011975520 is about 77536.9300398204. The cubic root of 6011975520 is about 1818.3287318499.

The spelling of 6011975520 in words is "six billion, eleven million, nine hundred seventy-five thousand, five hundred twenty".