54335165640 has 256 divisors, whose sum is σ = 198006681600. Its totient is φ = 11651226624.

The previous prime is 54335165639. The next prime is 54335165657. The reversal of 54335165640 is 4656153345.

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 = 54335165592 and 54335165601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1627354 + ... + 1660406.

It is an arithmetic number, because the mean of its divisors is an integer number (773463600).

Almost surely, 2^54335165640 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 54335165640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99003340800).

54335165640 is an abundant number, since it is smaller than the sum of its proper divisors (143671515960).

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

54335165640 is a wasteful number, since it uses less digits than its factorization.

54335165640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33196 (or 33192 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 54335165640 in words is "fifty-four billion, three hundred thirty-five million, one hundred sixty-five thousand, six hundred forty".