54401549664 has 576 divisors, whose sum is σ = 197170606080. Its totient is φ = 12796185600.

The previous prime is 54401549627. The next prime is 54401549723. The reversal of 54401549664 is 46694510445.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35532579 + ... + 35534109.

It is an arithmetic number, because the mean of its divisors is an integer number (342310080).

Almost surely, 2^54401549664 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 54401549664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98585303040).

54401549664 is an abundant number, since it is smaller than the sum of its proper divisors (142769056416).

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

54401549664 is a wasteful number, since it uses less digits than its factorization.

54401549664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 54401549664 in words is "fifty-four billion, four hundred one million, five hundred forty-nine thousand, six hundred sixty-four".