1126252576560 has 160 divisors (see below), whose sum is σ = 3505043520000. Its totient is φ = 299160576000.

The previous prime is 1126252576541. The next prime is 1126252576607. The reversal of 1126252576560 is 656752526211.

It is a super-2 number, since 2×1126252576560² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99214885 + ... + 99226235.

It is an arithmetic number, because the mean of its divisors is an integer number (21906522000).

Almost surely, 2^{1126252576560} is an apocalyptic number.

1126252576560 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 1126252576560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752521760000).

1126252576560 is an abundant number, since it is smaller than the sum of its proper divisors (2378790943440).

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

1126252576560 is a wasteful number, since it uses less digits than its factorization.

1126252576560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12947 (or 12941 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 1126252576560 in words is "one trillion, one hundred twenty-six billion, two hundred fifty-two million, five hundred seventy-six thousand, five hundred sixty".