54987685401600 has 3168 divisors, whose sum is σ = 240500738523136. Its totient is φ = 12189981081600.

The previous prime is 54987685401553. The next prime is 54987685401601. The reversal of 54987685401600 is 610458678945.

54987685401600 is a `hidden beast` number, since 5 + 4 + 9 + 8 + 76 + 8 + 540 + 16 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54987685401601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 337347763119 + ... + 337347763281.

Almost surely, 2^{54987685401600} is an apocalyptic number.

54987685401600 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 54987685401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120250369261568).

54987685401600 is an abundant number, since it is smaller than the sum of its proper divisors (185513053121536).

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

54987685401600 is a wasteful number, since it uses less digits than its factorization.

54987685401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 54987685401600 in words is "fifty-four trillion, nine hundred eighty-seven billion, six hundred eighty-five million, four hundred one thousand, six hundred".