54871036863552 has 3024 divisors, whose sum is σ = 219821273904960. Its totient is φ = 13446226354176.

The previous prime is 54871036863527. The next prime is 54871036863589. The reversal of 54871036863552 is 25536863017845.

54871036863552 is a `hidden beast` number, since 5 + 4 + 8 + 7 + 10 + 3 + 6 + 8 + 63 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a self number, because there is not a number n which added to its sum of digits gives 54871036863552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 239611514574 + ... + 239611514802.

Almost surely, 2^{54871036863552} is an apocalyptic number.

54871036863552 is a gapful number since it is divisible by the number (52) 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 54871036863552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109910636952480).

54871036863552 is an abundant number, since it is smaller than the sum of its proper divisors (164950237041408).

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

54871036863552 is a wasteful number, since it uses less digits than its factorization.

54871036863552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 54871036863552 in words is "fifty-four trillion, eight hundred seventy-one billion, thirty-six million, eight hundred sixty-three thousand, five hundred fifty-two".