1126788062400 has 2688 divisors, whose sum is σ = 5607961067520. Its totient is φ = 212502528000.

The previous prime is 1126788062381. The next prime is 1126788062401. The reversal of 1126788062400 is 42608876211.

1126788062400 is a `hidden beast` number, since 1 + 12 + 6 + 7 + 8 + 8 + 0 + 624 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1126788062401) 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, 3070267017 + ... + 3070267383.

It is an arithmetic number, because the mean of its divisors is an integer number (2086295040).

Almost surely, 2^{1126788062400} is an apocalyptic number.

1126788062400 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 1126788062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803980533760).

1126788062400 is an abundant number, since it is smaller than the sum of its proper divisors (4481173005120).

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

1126788062400 is a wasteful number, since it uses less digits than its factorization.

1126788062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1126788062400 in words is "one trillion, one hundred twenty-six billion, seven hundred eighty-eight million, sixty-two thousand, four hundred".