54171493740 has 768 divisors, whose sum is σ = 219361443840. Its totient is φ = 10790599680.

The previous prime is 54171493721. The next prime is 54171493759. The reversal of 54171493740 is 4739417145.

It is a happy number.

54171493740 is a `hidden beast` number, since 54 + 1 + 71 + 493 + 7 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (54171493721) and next prime (54171493759).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 65503207 + ... + 65504033.

It is an arithmetic number, because the mean of its divisors is an integer number (285626880).

Almost surely, 2^54171493740 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 54171493740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680721920).

54171493740 is an abundant number, since it is smaller than the sum of its proper divisors (165189950100).

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

54171493740 is a wasteful number, since it uses less digits than its factorization.

54171493740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 54171493740 in words is "fifty-four billion, one hundred seventy-one million, four hundred ninety-three thousand, seven hundred forty".