6052077486000 has 6400 divisors, whose sum is σ = 31709650452480. Its totient is φ = 1074954240000.

The previous prime is 6052077485989. The next prime is 6052077486023. The reversal of 6052077486000 is 6847702506.

6052077486000 is a `hidden beast` number, since 60 + 520 + 7 + 7 + 4 + 8 + 60 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 147611645980 + ... + 147611646020.

Almost surely, 2^{6052077486000} is an apocalyptic number.

6052077486000 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 6052077486000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15854825226240).

6052077486000 is an abundant number, since it is smaller than the sum of its proper divisors (25657572966480).

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

6052077486000 is a wasteful number, since it uses less digits than its factorization.

6052077486000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 6052077486000 in words is "six trillion, fifty-two billion, seventy-seven million, four hundred eighty-six thousand".