54065651640 has 512 divisors, whose sum is σ = 218424729600. Its totient is φ = 10339338240.

The previous prime is 54065651597. The next prime is 54065651657. The reversal of 54065651640 is 4615656045.

54065651640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 54065651592 and 54065651601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79158739 + ... + 79159421.

It is an arithmetic number, because the mean of its divisors is an integer number (426610800).

Almost surely, 2^54065651640 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 54065651640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109212364800).

54065651640 is an abundant number, since it is smaller than the sum of its proper divisors (164359077960).

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

54065651640 is a wasteful number, since it uses less digits than its factorization.

54065651640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 54065651640 in words is "fifty-four billion, sixty-five million, six hundred fifty-one thousand, six hundred forty".