2959963016400 has 720 divisors, whose sum is σ = 11347816662000. Its totient is φ = 709972623360.

The previous prime is 2959963016399. The next prime is 2959963016407. The reversal of 2959963016400 is 46103699592.

2959963016400 is a `hidden beast` number, since 2 + 9 + 599 + 6 + 3 + 0 + 1 + 6 + 40 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 2469901414464 + 490061601936 = 1571592^2 + 700044^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2959963016400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2959963016407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 369575596 + ... + 369583604.

It is an arithmetic number, because the mean of its divisors is an integer number (15760856475).

Almost surely, 2^{2959963016400} is an apocalyptic number.

2959963016400 is a gapful number since it is divisible by the number (20) 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 2959963016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5673908331000).

2959963016400 is an abundant number, since it is smaller than the sum of its proper divisors (8387853645600).

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

2959963016400 is a wasteful number, since it uses less digits than its factorization.

2959963016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8234 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 2959963016400 in words is "two trillion, nine hundred fifty-nine billion, nine hundred sixty-three million, sixteen thousand, four hundred".