2075782320000 has 480 divisors, whose sum is σ = 7705074336960. Its totient is φ = 535680000000.

The previous prime is 2075782319959. The next prime is 2075782320061. The reversal of 2075782320000 is 232875702.

It is a happy number.

2075782320000 is a `hidden beast` number, since 207 + 57 + 82 + 320 + 0 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22273500 + ... + 22366500.

It is an arithmetic number, because the mean of its divisors is an integer number (16052238202).

Almost surely, 2^{2075782320000} is an apocalyptic number.

2075782320000 is a gapful number since it is divisible by the number (20) 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 2075782320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852537168480).

2075782320000 is an abundant number, since it is smaller than the sum of its proper divisors (5629292016960).

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

2075782320000 is an equidigital number, since it uses as much as digits as its factorization.

2075782320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93072 (or 93042 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 2075782320000 in words is "two trillion, seventy-five billion, seven hundred eighty-two million, three hundred twenty thousand".