54191153640 has 256 divisors, whose sum is σ = 186122603520. Its totient is φ = 12504268800.

The previous prime is 54191153629. The next prime is 54191153671. The reversal of 54191153640 is 4635119145.

It is a super-2 number, since 2×54191153640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 6811665 + ... + 6819615.

It is an arithmetic number, because the mean of its divisors is an integer number (727041420).

Almost surely, 2^54191153640 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 54191153640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93061301760).

54191153640 is an abundant number, since it is smaller than the sum of its proper divisors (131931449880).

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

54191153640 is a wasteful number, since it uses less digits than its factorization.

54191153640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 54191153640 in words is "fifty-four billion, one hundred ninety-one million, one hundred fifty-three thousand, six hundred forty".