54312782126400 has 1680 divisors, whose sum is σ = 232661978013696. Its totient is φ = 12171184312320.

The previous prime is 54312782126381. The next prime is 54312782126507. The reversal of 54312782126400 is 462128721345.

54312782126400 is a `hidden beast` number, since 5 + 4 + 3 + 1 + 27 + 8 + 212 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13554473197 + ... + 13554477203.

Almost surely, 2^{54312782126400} is an apocalyptic number.

54312782126400 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 54312782126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116330989006848).

54312782126400 is an abundant number, since it is smaller than the sum of its proper divisors (178349195887296).

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

54312782126400 is a wasteful number, since it uses less digits than its factorization.

54312782126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 54312782126400 in words is "fifty-four trillion, three hundred twelve billion, seven hundred eighty-two million, one hundred twenty-six thousand, four hundred".