54654757164500 has 96 divisors (see below), whose sum is σ = 120483923239680. Its totient is φ = 21657229200000.

The previous prime is 54654757164461. The next prime is 54654757164713. The reversal of 54654757164500 is 546175745645.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 54654757164500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295897175 + ... + 296081825.

It is an arithmetic number, because the mean of its divisors is an integer number (1255040867080).

Almost surely, 2^{54654757164500} is an apocalyptic number.

54654757164500 is a gapful number since it is divisible by the number (50) 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 54654757164500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60241961619840).

54654757164500 is an abundant number, since it is smaller than the sum of its proper divisors (65829166075180).

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

54654757164500 is a wasteful number, since it uses less digits than its factorization.

54654757164500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190210 (or 190198 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 59.

The spelling of 54654757164500 in words is "fifty-four trillion, six hundred fifty-four billion, seven hundred fifty-seven million, one hundred sixty-four thousand, five hundred".