54171165073536 has 2048 divisors, whose sum is σ = 200896118784000. Its totient is φ = 14043202191360.

The previous prime is 54171165073471. The next prime is 54171165073547. The reversal of 54171165073536 is 63537056117145.

54171165073536 is a `hidden beast` number, since 5 + 4 + 1 + 71 + 1 + 6 + 507 + 35 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 95204156260 + ... + 95204156828.

It is an arithmetic number, because the mean of its divisors is an integer number (98093808000).

Almost surely, 2^{54171165073536} is an apocalyptic number.

54171165073536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54171165073536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100448059392000).

54171165073536 is an abundant number, since it is smaller than the sum of its proper divisors (146724953710464).

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

54171165073536 is a wasteful number, since it uses less digits than its factorization.

54171165073536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 54171165073536 in words is "fifty-four trillion, one hundred seventy-one billion, one hundred sixty-five million, seventy-three thousand, five hundred thirty-six".