1011566465640 has 192 divisors, whose sum is σ = 3439095978240. Its totient is φ = 257378457600.

The previous prime is 1011566465633. The next prime is 1011566465683. The reversal of 1011566465640 is 465646651101.

1011566465640 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 566 + 46 + 5 + 6 + 40 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3167949 + ... + 3472611.

It is an arithmetic number, because the mean of its divisors is an integer number (17911958220).

Almost surely, 2^{1011566465640} is an apocalyptic number.

1011566465640 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 1011566465640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719547989120).

1011566465640 is an abundant number, since it is smaller than the sum of its proper divisors (2427529512600).

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

1011566465640 is a wasteful number, since it uses less digits than its factorization.

1011566465640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305104 (or 305097 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1011566465640 in words is "one trillion, eleven billion, five hundred sixty-six million, four hundred sixty-five thousand, six hundred forty".