1139140654560 has 288 divisors, whose sum is σ = 3960342771840. Its totient is φ = 298087833600.

The previous prime is 1139140654559. The next prime is 1139140654571. The reversal of 1139140654560 is 654560419311.

1139140654560 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 1 + 40 + 6 + 545 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 37843996 + ... + 37874084.

It is an arithmetic number, because the mean of its divisors is an integer number (13751190180).

Almost surely, 2^{1139140654560} is an apocalyptic number.

1139140654560 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 1139140654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980171385920).

1139140654560 is an abundant number, since it is smaller than the sum of its proper divisors (2821202117280).

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

1139140654560 is a wasteful number, since it uses less digits than its factorization.

1139140654560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30602 (or 30591 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1139140654560 in words is "one trillion, one hundred thirty-nine billion, one hundred forty million, six hundred fifty-four thousand, five hundred sixty".