1011506745600 has 1944 divisors, whose sum is σ = 4321306309320. Its totient is φ = 232190115840.

The previous prime is 1011506745569. The next prime is 1011506745671. The reversal of 1011506745600 is 65476051101.

It is a happy number.

1011506745600 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 5 + 0 + 6 + 7 + 45 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 216470589696 + 795036155904 = 465264^2 + 891648^2 .

It is a tau number, because it is divible by the number of its divisors (1944).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9279878346 + ... + 9279878454.

Almost surely, 2^{1011506745600} is an apocalyptic number.

1011506745600 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 1011506745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160653154660).

1011506745600 is an abundant number, since it is smaller than the sum of its proper divisors (3309799563720).

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

1011506745600 is an equidigital number, since it uses as much as digits as its factorization.

1011506745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 1011506745600 in words is "one trillion, eleven billion, five hundred six million, seven hundred forty-five thousand, six hundred".