1167372635520 has 1536 divisors, whose sum is σ = 4957732684800. Its totient is φ = 227412541440.

The previous prime is 1167372635501. The next prime is 1167372635531. The reversal of 1167372635520 is 255362737611.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1167372635520.

It is a congruent number.

It is an unprimeable number.

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, 3080138691 + ... + 3080139069.

It is an arithmetic number, because the mean of its divisors is an integer number (3227690550).

Almost surely, 2^{1167372635520} is an apocalyptic number.

1167372635520 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 1167372635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478866342400).

1167372635520 is an abundant number, since it is smaller than the sum of its proper divisors (3790360049280).

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

1167372635520 is a wasteful number, since it uses less digits than its factorization.

1167372635520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 1167372635520 in words is "one trillion, one hundred sixty-seven billion, three hundred seventy-two million, six hundred thirty-five thousand, five hundred twenty".