1065511177920 has 1344 divisors, whose sum is σ = 4752305049600. Its totient is φ = 223232163840.

The previous prime is 1065511177859. The next prime is 1065511177949. The reversal of 1065511177920 is 297711155601.

1065511177920 is a `hidden beast` number, since 1 + 0 + 6 + 551 + 1 + 1 + 7 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1065511177920² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 249356904 + ... + 249361176.

Almost surely, 2^{1065511177920} is an apocalyptic number.

1065511177920 is a gapful number since it is divisible by the number (10) 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 1065511177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376152524800).

1065511177920 is an abundant number, since it is smaller than the sum of its proper divisors (3686793871680).

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

1065511177920 is a wasteful number, since it uses less digits than its factorization.

1065511177920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 45.

The spelling of 1065511177920 in words is "one trillion, sixty-five billion, five hundred eleven million, one hundred seventy-seven thousand, nine hundred twenty".