54132551498400 has 288 divisors, whose sum is σ = 186581571640128. Its totient is φ = 13585093017600.

The previous prime is 54132551498381. The next prime is 54132551498407. The reversal of 54132551498400 is 489415523145.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (54132551498407) 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, 569642890 + ... + 569737910.

It is an arithmetic number, because the mean of its divisors is an integer number (647852679306).

Almost surely, 2^{54132551498400} is an apocalyptic number.

54132551498400 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 54132551498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93290785820064).

54132551498400 is an abundant number, since it is smaller than the sum of its proper divisors (132449020141728).

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

54132551498400 is a wasteful number, since it uses less digits than its factorization.

54132551498400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109024 (or 109011 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 54132551498400 in words is "fifty-four trillion, one hundred thirty-two billion, five hundred fifty-one million, four hundred ninety-eight thousand, four hundred".