54964849767552 has 320 divisors, whose sum is σ = 163870440940800. Its totient is φ = 18288507027456.

The previous prime is 54964849767463. The next prime is 54964849767571. The reversal of 54964849767552 is 25576794846945.

54964849767552 is a `hidden beast` number, since 5 + 4 + 9 + 6 + 4 + 8 + 497 + 6 + 75 + 52 = 666.

It is a super-2 number, since 2×54964849767552² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 39 ways as a sum of consecutive naturals, for example, 22462135993 + ... + 22462138439.

It is an arithmetic number, because the mean of its divisors is an integer number (512095127940).

Almost surely, 2^{54964849767552} 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 54964849767552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81935220470400).

54964849767552 is an abundant number, since it is smaller than the sum of its proper divisors (108905591173248).

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

54964849767552 is a wasteful number, since it uses less digits than its factorization.

54964849767552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5484 counting only the distinct ones).

The product of its digits is 18289152000, while the sum is 81.

The spelling of 54964849767552 in words is "fifty-four trillion, nine hundred sixty-four billion, eight hundred forty-nine million, seven hundred sixty-seven thousand, five hundred fifty-two".