1959999498240 has 1152 divisors, whose sum is σ = 7560225953280. Its totient is φ = 431959965696.

The previous prime is 1959999498199. The next prime is 1959999498263. The reversal of 1959999498240 is 428949999591.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6925793139 + ... + 6925793421.

It is an arithmetic number, because the mean of its divisors is an integer number (6562696140).

Almost surely, 2^{1959999498240} is an apocalyptic number.

1959999498240 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 1959999498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780112976640).

1959999498240 is an abundant number, since it is smaller than the sum of its proper divisors (5600226455040).

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

1959999498240 is a wasteful number, since it uses less digits than its factorization.

1959999498240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 680244480, while the sum is 78.

The spelling of 1959999498240 in words is "one trillion, nine hundred fifty-nine billion, nine hundred ninety-nine million, four hundred ninety-eight thousand, two hundred forty".