1126721664000 has 880 divisors, whose sum is σ = 4241808302160. Its totient is φ = 297404006400.

The previous prime is 1126721663993. The next prime is 1126721664007. The reversal of 1126721664000 is 4661276211.

1126721664000 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 7 + 2 + 1 + 6 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1126721663993) and next prime (1126721664007).

It can be written as a sum of positive squares in 8 ways, for example, as 100179846144 + 1026541817856 = 316512^2 + 1013184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126721664007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1130111502 + ... + 1130112498.

It is an arithmetic number, because the mean of its divisors is an integer number (4820236707).

Almost surely, 2^{1126721664000} is an apocalyptic number.

1126721664000 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 1126721664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120904151080).

1126721664000 is an abundant number, since it is smaller than the sum of its proper divisors (3115086638160).

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

1126721664000 is an equidigital number, since it uses as much as digits as its factorization.

1126721664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1126721664000 in words is "one trillion, one hundred twenty-six billion, seven hundred twenty-one million, six hundred sixty-four thousand".