2653537574016 has 384 divisors, whose sum is σ = 9061070578560. Its totient is φ = 757215682560.

The previous prime is 2653537573957. The next prime is 2653537574041. The reversal of 2653537574016 is 6104757353562.

2653537574016 is a `hidden beast` number, since 2 + 6 + 5 + 3 + 53 + 7 + 574 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 186585786 + ... + 186600006.

It is an arithmetic number, because the mean of its divisors is an integer number (23596537965).

Almost surely, 2^{2653537574016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2653537574016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530535289280).

2653537574016 is an abundant number, since it is smaller than the sum of its proper divisors (6407533004544).

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

2653537574016 is an equidigital number, since it uses as much as digits as its factorization.

2653537574016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15114 (or 15090 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 2653537574016 in words is "two trillion, six hundred fifty-three billion, five hundred thirty-seven million, five hundred seventy-four thousand, sixteen".