1959115905120 has 384 divisors, whose sum is σ = 6867022675968. Its totient is φ = 465448755200.

The previous prime is 1959115905073. The next prime is 1959115905121. The reversal of 1959115905120 is 215095119591.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1959115905120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1959115905121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283474465 + ... + 283481375.

It is an arithmetic number, because the mean of its divisors is an integer number (17882871552).

Almost surely, 2^{1959115905120} is an apocalyptic number.

1959115905120 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 1959115905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433511337984).

1959115905120 is an abundant number, since it is smaller than the sum of its proper divisors (4907906770848).

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

1959115905120 is a wasteful number, since it uses less digits than its factorization.

1959115905120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8006 (or 7998 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 48.

The spelling of 1959115905120 in words is "one trillion, nine hundred fifty-nine billion, one hundred fifteen million, nine hundred five thousand, one hundred twenty".