54196779442176 has 1120 divisors, whose sum is σ = 198472815509760. Its totient is φ = 14391774019584.

The previous prime is 54196779442159. The next prime is 54196779442181. The reversal of 54196779442176 is 67124497769145.

54196779442176 is a `hidden beast` number, since 5 + 4 + 1 + 9 + 6 + 7 + 7 + 9 + 442 + 176 = 666.

It is a super-2 number, since 2×54196779442176² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 4677372255 + ... + 4677383841.

Almost surely, 2^{54196779442176} is an apocalyptic number.

54196779442176 is a gapful number since it is divisible by the number (56) 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 54196779442176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99236407754880).

54196779442176 is an abundant number, since it is smaller than the sum of its proper divisors (144276036067584).

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

54196779442176 is a wasteful number, since it uses less digits than its factorization.

54196779442176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11704 (or 11671 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 72.

The spelling of 54196779442176 in words is "fifty-four trillion, one hundred ninety-six billion, seven hundred seventy-nine million, four hundred forty-two thousand, one hundred seventy-six".