1139167564560 has 320 divisors, whose sum is σ = 3938394355200. Its totient is φ = 302650877952.

The previous prime is 1139167564547. The next prime is 1139167564603. The reversal of 1139167564560 is 654657619311.

1139167564560 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 1 + 6 + 75 + 6 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1139167564497 and 1139167564506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1374146226 + ... + 1374147054.

It is an arithmetic number, because the mean of its divisors is an integer number (12307482360).

Almost surely, 2^{1139167564560} is an apocalyptic number.

1139167564560 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 1139167564560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969197177600).

1139167564560 is an abundant number, since it is smaller than the sum of its proper divisors (2799226790640).

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

1139167564560 is a wasteful number, since it uses less digits than its factorization.

1139167564560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 1139167564560 in words is "one trillion, one hundred thirty-nine billion, one hundred sixty-seven million, five hundred sixty-four thousand, five hundred sixty".