57654402121540 has 144 divisors (see below), whose sum is σ = 144062153650800. Its totient is φ = 19319325742080.

The previous prime is 57654402121507. The next prime is 57654402121549. The reversal of 57654402121540 is 4512120445675.

It can be written as a sum of positive squares in 8 ways, for example, as 23008676253696 + 34645725867844 = 4796736^2 + 5886062^2 .

It is not an unprimeable number, because it can be changed into a prime (57654402121549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6313986 + ... + 12456934.

It is an arithmetic number, because the mean of its divisors is an integer number (1000431622575).

Almost surely, 2^{57654402121540} 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 57654402121540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72031076825400).

57654402121540 is an abundant number, since it is smaller than the sum of its proper divisors (86407751529260).

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

57654402121540 is a wasteful number, since it uses less digits than its factorization.

57654402121540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6143190 (or 6143181 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 46.

The spelling of 57654402121540 in words is "fifty-seven trillion, six hundred fifty-four billion, four hundred two million, one hundred twenty-one thousand, five hundred forty".