2007058212288 has 784 divisors, whose sum is σ = 6575310496800. Its totient is φ = 605109657600.

The previous prime is 2007058212281. The next prime is 2007058212353. The reversal of 2007058212288 is 8822128507002.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007058212281) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2596452670 + ... + 2596453442.

Almost surely, 2^{2007058212288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007058212288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287655248400).

2007058212288 is an abundant number, since it is smaller than the sum of its proper divisors (4568252284512).

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

2007058212288 is a wasteful number, since it uses less digits than its factorization.

2007058212288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 2007058212288 in words is "two trillion, seven billion, fifty-eight million, two hundred twelve thousand, two hundred eighty-eight".