2065138377120 has 1344 divisors, whose sum is σ = 9175429799424. Its totient is φ = 427383889920.

The previous prime is 2065138377109. The next prime is 2065138377131. The reversal of 2065138377120 is 217738315602.

2065138377120 is a `hidden beast` number, since 2 + 0 + 6 + 513 + 8 + 3 + 7 + 7 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (2065138377109) and next prime (2065138377131).

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 223 ways as a sum of consecutive naturals, for example, 562552885 + ... + 562556555.

It is an arithmetic number, because the mean of its divisors is an integer number (6826956696).

Almost surely, 2^{2065138377120} is an apocalyptic number.

2065138377120 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 2065138377120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587714899712).

2065138377120 is an abundant number, since it is smaller than the sum of its proper divisors (7110291422304).

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

2065138377120 is a wasteful number, since it uses less digits than its factorization.

2065138377120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2065138377120 in words is "two trillion, sixty-five billion, one hundred thirty-eight million, three hundred seventy-seven thousand, one hundred twenty".