1011586928640 has 208 divisors, whose sum is σ = 3244277650176. Its totient is φ = 269123584000.

The previous prime is 1011586928623. The next prime is 1011586928669. The reversal of 1011586928640 is 468296851101.

It is a happy number.

It is a super-2 number, since 2×1011586928640² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26461540 + ... + 26499740.

Almost surely, 2^{1011586928640} is an apocalyptic number.

1011586928640 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 1011586928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622138825088).

1011586928640 is an abundant number, since it is smaller than the sum of its proper divisors (2232690721536).

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

1011586928640 is an equidigital number, since it uses as much as digits as its factorization.

1011586928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38664 (or 38642 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 1011586928640 in words is "one trillion, eleven billion, five hundred eighty-six million, nine hundred twenty-eight thousand, six hundred forty".