119561559840 has 288 divisors, whose sum is σ = 423607242240. Its totient is φ = 31846017024.

The previous prime is 119561559809. The next prime is 119561559869. The reversal of 119561559840 is 48955165911.

It is a happy number.

119561559840 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 6 + 1 + 5 + 598 + 40 = 666.

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

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

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, 55947252 + ... + 55949388.

It is an arithmetic number, because the mean of its divisors is an integer number (1470858480).

Almost surely, 2^119561559840 is an apocalyptic number.

119561559840 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 119561559840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211803621120).

119561559840 is an abundant number, since it is smaller than the sum of its proper divisors (304045682400).

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

119561559840 is a wasteful number, since it uses less digits than its factorization.

119561559840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 54.

The spelling of 119561559840 in words is "one hundred nineteen billion, five hundred sixty-one million, five hundred fifty-nine thousand, eight hundred forty".