54249597933720 has 768 divisors, whose sum is σ = 197775232312320. Its totient is φ = 11652608471040.

The previous prime is 54249597933631. The next prime is 54249597933737. The reversal of 54249597933720 is 2733979594245.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18309008959 + ... + 18309011921.

It is an arithmetic number, because the mean of its divisors is an integer number (257519833740).

Almost surely, 2^{54249597933720} 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 54249597933720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98887616156160).

54249597933720 is an abundant number, since it is smaller than the sum of its proper divisors (143525634378600).

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

54249597933720 is a wasteful number, since it uses less digits than its factorization.

54249597933720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 69.

The spelling of 54249597933720 in words is "fifty-four trillion, two hundred forty-nine billion, five hundred ninety-seven million, nine hundred thirty-three thousand, seven hundred twenty".