1959796070400 has 2304 divisors, whose sum is σ = 8407861862400. Its totient is φ = 392398110720.

The previous prime is 1959796070399. The next prime is 1959796070503. The reversal of 1959796070400 is 40706979591.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20204083152 + ... + 20204083248.

It is an arithmetic number, because the mean of its divisors is an integer number (3649245600).

Almost surely, 2^{1959796070400} is an apocalyptic number.

1959796070400 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 1959796070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203930931200).

1959796070400 is an abundant number, since it is smaller than the sum of its proper divisors (6448065792000).

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

1959796070400 is a wasteful number, since it uses less digits than its factorization.

1959796070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 57.

The spelling of 1959796070400 in words is "one trillion, nine hundred fifty-nine billion, seven hundred ninety-six million, seventy thousand, four hundred".