2856959942400 has 648 divisors, whose sum is σ = 11215780050384. Its totient is φ = 717034291200.

The previous prime is 2856959942339. The next prime is 2856959942413. The reversal of 2856959942400 is 42499596582.

2856959942400 is a `hidden beast` number, since 2 + 8 + 56 + 95 + 9 + 94 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×2856959942400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26384370 + ... + 26492430.

Almost surely, 2^{2856959942400} is an apocalyptic number.

2856959942400 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 2856959942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607890025192).

2856959942400 is an abundant number, since it is smaller than the sum of its proper divisors (8358820107984).

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

2856959942400 is a wasteful number, since it uses less digits than its factorization.

2856959942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108119 (or 108088 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 2856959942400 in words is "two trillion, eight hundred fifty-six billion, nine hundred fifty-nine million, nine hundred forty-two thousand, four hundred".