1155268625511 has 192 divisors, whose sum is σ = 2198349296640. Its totient is φ = 523662796800.

The previous prime is 1155268625501. The next prime is 1155268625521.

1155268625511 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1155268625501) and next prime (1155268625521).

It is not a de Polignac number, because 1155268625511 - 2¹³ = 1155268617319 is a prime.

It is a super-2 number, since 2×1155268625511² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) 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 (1155268625501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 326991901 + ... + 326995433.

It is an arithmetic number, because the mean of its divisors is an integer number (11449735920).

Almost surely, 2^{1155268625511} is an apocalyptic number.

1155268625511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1155268625511 is a deficient number, since it is larger than the sum of its proper divisors (1043080671129).

1155268625511 is a wasteful number, since it uses less digits than its factorization.

1155268625511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4107 counting only the distinct ones).

The product of its digits is 720000, while the sum is 48.

The spelling of 1155268625511 in words is "one trillion, one hundred fifty-five billion, two hundred sixty-eight million, six hundred twenty-five thousand, five hundred eleven".