53942437518464 has 128 divisors (see below), whose sum is σ = 122336293248000. Its totient is φ = 23452014699520.

The previous prime is 53942437518377. The next prime is 53942437518467. The reversal of 53942437518464 is 46481573424935.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 53942437518464.

It is not an unprimeable number, because it can be changed into a prime (53942437518467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 934540997 + ... + 934598715.

It is an arithmetic number, because the mean of its divisors is an integer number (955752291000).

Almost surely, 2^{53942437518464} 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 53942437518464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61168146624000).

53942437518464 is an abundant number, since it is smaller than the sum of its proper divisors (68393855729536).

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

53942437518464 is a wasteful number, since it uses less digits than its factorization.

53942437518464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86626 (or 86614 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 65.

The spelling of 53942437518464 in words is "fifty-three trillion, nine hundred forty-two billion, four hundred thirty-seven million, five hundred eighteen thousand, four hundred sixty-four".