54761640192 has 576 divisors, whose sum is σ = 190670860800. Its totient is φ = 15371845632.

The previous prime is 54761640181. The next prime is 54761640203. The reversal of 54761640192 is 29104616745.

54761640192 is a `hidden beast` number, since 5 + 476 + 164 + 0 + 19 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (54761640181) and next prime (54761640203).

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348800178 + ... + 348800334.

It is an arithmetic number, because the mean of its divisors is an integer number (331025800).

Almost surely, 2^54761640192 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 54761640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95335430400).

54761640192 is an abundant number, since it is smaller than the sum of its proper divisors (135909220608).

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

54761640192 is an frugal number, since it uses more digits than its factorization.

54761640192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 54761640192 in words is "fifty-four billion, seven hundred sixty-one million, six hundred forty thousand, one hundred ninety-two".