1167761663325 has 384 divisors, whose sum is σ = 2391275520000. Its totient is φ = 556419456000.

The previous prime is 1167761663323. The next prime is 1167761663381. The reversal of 1167761663325 is 5233661677611.

1167761663325 is a `hidden beast` number, since 1 + 16 + 7 + 7 + 616 + 6 + 3 + 3 + 2 + 5 = 666.

It is not a de Polignac number, because 1167761663325 - 2¹ = 1167761663323 is a prime.

Its product of digits (5715360) is a multiple of the sum of its prime divisors (567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167761663323) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4341121291 + ... + 4341121559.

It is an arithmetic number, because the mean of its divisors is an integer number (6227280000).

Almost surely, 2^{1167761663325} is an apocalyptic number.

1167761663325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1167761663325 is an abundant number, since it is smaller than the sum of its proper divisors (1223513856675).

1167761663325 is a wasteful number, since it uses less digits than its factorization.

1167761663325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 567 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 1167761663325 in words is "one trillion, one hundred sixty-seven billion, seven hundred sixty-one million, six hundred sixty-three thousand, three hundred twenty-five".