54960304249600 has 216 divisors, whose sum is σ = 139372573365648. Its totient is φ = 21444953702400.

The previous prime is 54960304249547. The next prime is 54960304249601. The reversal of 54960304249600 is 694240306945.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (54960304249601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3562597087 + ... + 3562612513.

Almost surely, 2^{54960304249600} is an apocalyptic number.

54960304249600 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 54960304249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69686286682824).

54960304249600 is an abundant number, since it is smaller than the sum of its proper divisors (84412269116048).

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

54960304249600 is a wasteful number, since it uses less digits than its factorization.

54960304249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29071 (or 29052 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 52.

The spelling of 54960304249600 in words is "fifty-four trillion, nine hundred sixty billion, three hundred four million, two hundred forty-nine thousand, six hundred".