2653478593920 has 2048 divisors, whose sum is σ = 12088059494400. Its totient is φ = 534159360000.

The previous prime is 2653478593903. The next prime is 2653478593993. The reversal of 2653478593920 is 293958743562.

2653478593920 is a `hidden beast` number, since 2 + 6 + 5 + 34 + 7 + 8 + 593 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 9442984180 + ... + 9442984460.

It is an arithmetic number, because the mean of its divisors is an integer number (5902372800).

Almost surely, 2^{2653478593920} is an apocalyptic number.

2653478593920 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 2653478593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6044029747200).

2653478593920 is an abundant number, since it is smaller than the sum of its proper divisors (9434580900480).

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

2653478593920 is a wasteful number, since it uses less digits than its factorization.

2653478593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 2653478593920 in words is "two trillion, six hundred fifty-three billion, four hundred seventy-eight million, five hundred ninety-three thousand, nine hundred twenty".