1011250759680 has 576 divisors, whose sum is σ = 4153924494720. Its totient is φ = 231139049472.

The previous prime is 1011250759669. The next prime is 1011250759699. The reversal of 1011250759680 is 869570521101.

1011250759680 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 50 + 7 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1011250759680² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17389212 + ... + 17447268.

It is an arithmetic number, because the mean of its divisors is an integer number (7211674470).

Almost surely, 2^{1011250759680} is an apocalyptic number.

1011250759680 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 1011250759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076962247360).

1011250759680 is an abundant number, since it is smaller than the sum of its proper divisors (3142673735040).

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

1011250759680 is an frugal number, since it uses more digits than its factorization.

1011250759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58106 (or 58074 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 1011250759680 in words is "one trillion, eleven billion, two hundred fifty million, seven hundred fifty-nine thousand, six hundred eighty".