54097474329600 has 1584 divisors, whose sum is σ = 200630589677568. Its totient is φ = 12839890452480.

The previous prime is 54097474329557. The next prime is 54097474329607. The reversal of 54097474329600 is 692347479045.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54097474329607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60989260357 + ... + 60989261243.

Almost surely, 2^{54097474329600} is an apocalyptic number.

54097474329600 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 54097474329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100315294838784).

54097474329600 is an abundant number, since it is smaller than the sum of its proper divisors (146533115347968).

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

54097474329600 is a wasteful number, since it uses less digits than its factorization.

54097474329600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 54097474329600 in words is "fifty-four trillion, ninety-seven billion, four hundred seventy-four million, three hundred twenty-nine thousand, six hundred".