54726486645600 has 7560 divisors, whose sum is σ = 286279108292520. Its totient is φ = 10139505868800.

The previous prime is 54726486645599. The next prime is 54726486645601. The reversal of 54726486645600 is 654668462745.

54726486645600 is a `hidden beast` number, since 5 + 4 + 7 + 2 + 6 + 4 + 8 + 6 + 64 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54726486645599) and next prime (54726486645601).

It is a tau number, because it is divible by the number of its divisors (7560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54726486645601) by changing a digit.

It is a polite number, since it can be written in 1259 ways as a sum of consecutive naturals, for example, 2880341402391 + ... + 2880341402409.

It is an arithmetic number, because the mean of its divisors is an integer number (37867606917).

Almost surely, 2^{54726486645600} is an apocalyptic number.

54726486645600 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 54726486645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143139554146260).

54726486645600 is an abundant number, since it is smaller than the sum of its proper divisors (231552621646920).

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

54726486645600 is a wasteful number, since it uses less digits than its factorization.

54726486645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 54726486645600 in words is "fifty-four trillion, seven hundred twenty-six billion, four hundred eighty-six million, six hundred forty-five thousand, six hundred".