2088145930752 has 800 divisors, whose sum is σ = 7526323284480. Its totient is φ = 563067002880.

The previous prime is 2088145930729. The next prime is 2088145930807. The reversal of 2088145930752 is 2570395418802.

2088145930752 is a `hidden beast` number, since 208 + 81 + 4 + 5 + 9 + 307 + 52 = 666.

It is a super-2 number, since 2×2088145930752² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1913973727 + ... + 1913974817.

Almost surely, 2^{2088145930752} 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 2088145930752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763161642240).

2088145930752 is an abundant number, since it is smaller than the sum of its proper divisors (5438177353728).

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

2088145930752 is a wasteful number, since it uses less digits than its factorization.

2088145930752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 2088145930752 in words is "two trillion, eighty-eight billion, one hundred forty-five million, nine hundred thirty thousand, seven hundred fifty-two".