1167425021952 has 720 divisors, whose sum is σ = 4270374108000. Its totient is φ = 315952939008.

The previous prime is 1167425021951. The next prime is 1167425021957. The reversal of 1167425021952 is 2591205247611.

1167425021952 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 425 + 0 + 219 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1167425021898 and 1167425021907.

It is not an unprimeable number, because it can be changed into a prime (1167425021951) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 154437949 + ... + 154445507.

It is an arithmetic number, because the mean of its divisors is an integer number (5931075150).

Almost surely, 2^{1167425021952} is an apocalyptic number.

1167425021952 is a gapful number since it is divisible by the number (12) 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 1167425021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135187054000).

1167425021952 is an abundant number, since it is smaller than the sum of its proper divisors (3102949086048).

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

1167425021952 is an equidigital number, since it uses as much as digits as its factorization.

1167425021952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7626 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1167425021952 in words is "one trillion, one hundred sixty-seven billion, four hundred twenty-five million, twenty-one thousand, nine hundred fifty-two".