54987251020800 has 1056 divisors, whose sum is σ = 218820042240000. Its totient is φ = 11896638013440.

The previous prime is 54987251020789. The next prime is 54987251020817. The reversal of 54987251020800 is 802015278945.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20418584254 + ... + 20418586946.

Almost surely, 2^{54987251020800} is an apocalyptic number.

54987251020800 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 54987251020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109410021120000).

54987251020800 is an abundant number, since it is smaller than the sum of its proper divisors (163832791219200).

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

54987251020800 is a wasteful number, since it uses less digits than its factorization.

54987251020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 54987251020800 in words is "fifty-four trillion, nine hundred eighty-seven billion, two hundred fifty-one million, twenty thousand, eight hundred".