54141699096576 has 2304 divisors, whose sum is σ = 208573553664000. Its totient is φ = 13783875452928.

The previous prime is 54141699096533. The next prime is 54141699096577. The reversal of 54141699096576 is 67569099614145.

54141699096576 is a `hidden beast` number, since 5 + 4 + 1 + 41 + 6 + 9 + 9 + 0 + 9 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54141699096577) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 741667110876 + ... + 741667110948.

It is an arithmetic number, because the mean of its divisors is an integer number (90526716000).

Almost surely, 2^{54141699096576} is an apocalyptic number.

54141699096576 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 54141699096576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104286776832000).

54141699096576 is an abundant number, since it is smaller than the sum of its proper divisors (154431854567424).

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

54141699096576 is an frugal number, since it uses more digits than its factorization.

54141699096576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 54141699096576 in words is "fifty-four trillion, one hundred forty-one billion, six hundred ninety-nine million, ninety-six thousand, five hundred seventy-six".