54134775152640 has 3264 divisors, whose sum is σ = 248280501460992. Its totient is φ = 11007531417600.

The previous prime is 54134775152639. The next prime is 54134775152687. The reversal of 54134775152640 is 4625157743145.

54134775152640 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 4 + 7 + 75 + 1 + 526 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 224625622920 + ... + 224625623160.

Almost surely, 2^{54134775152640} 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 54134775152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124140250730496).

54134775152640 is an abundant number, since it is smaller than the sum of its proper divisors (194145726308352).

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

54134775152640 is an equidigital number, since it uses as much as digits as its factorization.

54134775152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 54134775152640 in words is "fifty-four trillion, one hundred thirty-four billion, seven hundred seventy-five million, one hundred fifty-two thousand, six hundred forty".