54159769963200 has 336 divisors, whose sum is σ = 195369085292544. Its totient is φ = 13026256588800.

The previous prime is 54159769963129. The next prime is 54159769963207. The reversal of 54159769963200 is 236996795145.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (54159769963207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2667202 + ... + 10743998.

Almost surely, 2^{54159769963200} is an apocalyptic number.

54159769963200 is a gapful number since it is divisible by the number (50) 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 54159769963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97684542646272).

54159769963200 is an abundant number, since it is smaller than the sum of its proper divisors (141209315329344).

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

54159769963200 is a wasteful number, since it uses less digits than its factorization.

54159769963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8076960 (or 8076945 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 66.

The spelling of 54159769963200 in words is "fifty-four trillion, one hundred fifty-nine billion, seven hundred sixty-nine million, nine hundred sixty-three thousand, two hundred".