54353517540 has 432 divisors, whose sum is σ = 185547946752. Its totient is φ = 11847456768.

The previous prime is 54353517523. The next prime is 54353517557. The reversal of 54353517540 is 4571535345.

It is an interprime number because it is at equal distance from previous prime (54353517523) and next prime (54353517557).

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 = 54353517492 and 54353517501.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 481004524 + ... + 481004636.

It is an arithmetic number, because the mean of its divisors is an integer number (429509136).

Almost surely, 2^54353517540 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 54353517540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92773973376).

54353517540 is an abundant number, since it is smaller than the sum of its proper divisors (131194429212).

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

54353517540 is a wasteful number, since it uses less digits than its factorization.

54353517540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 42.

The spelling of 54353517540 in words is "fifty-four billion, three hundred fifty-three million, five hundred seventeen thousand, five hundred forty".