2648916172800 has 2016 divisors, whose sum is σ = 10861233836544. Its totient is φ = 637009920000.

The previous prime is 2648916172781. The next prime is 2648916172801. The reversal of 2648916172800 is 82716198462.

It is a happy number.

2648916172800 is a `hidden beast` number, since 2 + 6 + 489 + 16 + 1 + 72 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2648916172801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26226892750 + ... + 26226892850.

It is an arithmetic number, because the mean of its divisors is an integer number (5387516784).

Almost surely, 2^{2648916172800} is an apocalyptic number.

2648916172800 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 2648916172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5430616918272).

2648916172800 is an abundant number, since it is smaller than the sum of its proper divisors (8212317663744).

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

2648916172800 is a wasteful number, since it uses less digits than its factorization.

2648916172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2648916172800 in words is "two trillion, six hundred forty-eight billion, nine hundred sixteen million, one hundred seventy-two thousand, eight hundred".