2195754777216 has 1152 divisors, whose sum is σ = 8924680699200. Its totient is φ = 526390824960.

The previous prime is 2195754777191. The next prime is 2195754777239. The reversal of 2195754777216 is 6127774575912.

2195754777216 is a `hidden beast` number, since 2 + 1 + 9 + 5 + 7 + 547 + 7 + 72 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-4 number, since 4×2195754777216⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 266373991 + ... + 266382233.

Almost surely, 2^{2195754777216} is an apocalyptic number.

2195754777216 is a gapful number since it is divisible by the number (26) 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 2195754777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462340349600).

2195754777216 is an abundant number, since it is smaller than the sum of its proper divisors (6728925921984).

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

2195754777216 is a wasteful number, since it uses less digits than its factorization.

2195754777216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315 (or 8279 counting only the distinct ones).

The product of its digits is 51861600, while the sum is 63.

The spelling of 2195754777216 in words is "two trillion, one hundred ninety-five billion, seven hundred fifty-four million, seven hundred seventy-seven thousand, two hundred sixteen".