54180981972 has 288 divisors, whose sum is σ = 159075431424. Its totient is φ = 16012339200.

The previous prime is 54180981917. The next prime is 54180981973. The reversal of 54180981972 is 27918908145.

It is a happy number.

54180981972 is a `hidden beast` number, since 541 + 8 + 0 + 9 + 8 + 1 + 97 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54180981973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61498972 + ... + 61499852.

It is an arithmetic number, because the mean of its divisors is an integer number (552345248).

Almost surely, 2^54180981972 is an apocalyptic number.

54180981972 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 54180981972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79537715712).

54180981972 is an abundant number, since it is smaller than the sum of its proper divisors (104894449452).

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

54180981972 is a wasteful number, since it uses less digits than its factorization.

54180981972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 54180981972 in words is "fifty-four billion, one hundred eighty million, nine hundred eighty-one thousand, nine hundred seventy-two".