54769425009600 has 672 divisors, whose sum is σ = 213713351470080. Its totient is φ = 12014632304640.

The previous prime is 54769425009587. The next prime is 54769425009613. The reversal of 54769425009600 is 690052496745.

It is an interprime number because it is at equal distance from previous prime (54769425009587) and next prime (54769425009613).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162556512 + ... + 162893088.

It is an arithmetic number, because the mean of its divisors is an integer number (318025820640).

Almost surely, 2^{54769425009600} is an apocalyptic number.

54769425009600 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 54769425009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106856675735040).

54769425009600 is an abundant number, since it is smaller than the sum of its proper divisors (158943926460480).

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

54769425009600 is a wasteful number, since it uses less digits than its factorization.

54769425009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336805 (or 336790 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 54769425009600 in words is "fifty-four trillion, seven hundred sixty-nine billion, four hundred twenty-five million, nine thousand, six hundred".