54625385253600 has 1152 divisors, whose sum is σ = 232257944540160. Its totient is φ = 12130394112000.

The previous prime is 54625385253487. The next prime is 54625385253617. The reversal of 54625385253600 is 635258352645.

54625385253600 is a `hidden beast` number, since 5 + 4 + 6 + 2 + 5 + 3 + 8 + 5 + 25 + 3 + 600 = 666.

It is a super-3 number, since 3×54625385253600³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1493988919 + ... + 1494025481.

It is an arithmetic number, because the mean of its divisors is an integer number (201612799080).

Almost surely, 2^{54625385253600} is an apocalyptic number.

54625385253600 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 54625385253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116128972270080).

54625385253600 is an abundant number, since it is smaller than the sum of its proper divisors (177632559286560).

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

54625385253600 is a wasteful number, since it uses less digits than its factorization.

54625385253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36881 (or 36862 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 54625385253600 in words is "fifty-four trillion, six hundred twenty-five billion, three hundred eighty-five million, two hundred fifty-three thousand, six hundred".