53460207877440 has 1344 divisors, whose sum is σ = 214862185488384. Its totient is φ = 11161942622208.

The previous prime is 53460207877229. The next prime is 53460207877441. The reversal of 53460207877440 is 4477870206435.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53460207877441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44811573484 + ... + 44811574676.

It is an arithmetic number, because the mean of its divisors is an integer number (159867697536).

Almost surely, 2^{53460207877440} 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 53460207877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107431092744192).

53460207877440 is an abundant number, since it is smaller than the sum of its proper divisors (161401977610944).

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

53460207877440 is a wasteful number, since it uses less digits than its factorization.

53460207877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 57.

The spelling of 53460207877440 in words is "fifty-three trillion, four hundred sixty billion, two hundred seven million, eight hundred seventy-seven thousand, four hundred forty".