1136142650880 has 1440 divisors, whose sum is σ = 4540452231744. Its totient is φ = 271175122944.

The previous prime is 1136142650873. The next prime is 1136142650891. The reversal of 1136142650880 is 880562416311.

1136142650880 is a `hidden beast` number, since 1 + 1 + 3 + 61 + 4 + 2 + 6 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6567298474 + ... + 6567298646.

Almost surely, 2^{1136142650880} is an apocalyptic number.

1136142650880 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 1136142650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270226115872).

1136142650880 is an abundant number, since it is smaller than the sum of its proper divisors (3404309580864).

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

1136142650880 is an frugal number, since it uses more digits than its factorization.

1136142650880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1136142650880 in words is "one trillion, one hundred thirty-six billion, one hundred forty-two million, six hundred fifty thousand, eight hundred eighty".