54601975553760 has 768 divisors, whose sum is σ = 210814090905600. Its totient is φ = 13137701879808.

The previous prime is 54601975553729. The next prime is 54601975553767. The reversal of 54601975553760 is 6735557910645.

54601975553760 is a `hidden beast` number, since 5 + 4 + 6 + 0 + 1 + 9 + 7 + 5 + 553 + 76 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54601975553767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 439804654 + ... + 439928786.

It is an arithmetic number, because the mean of its divisors is an integer number (274497514200).

Almost surely, 2^{54601975553760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54601975553760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105407045452800).

54601975553760 is an abundant number, since it is smaller than the sum of its proper divisors (156212115351840).

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

54601975553760 is a wasteful number, since it uses less digits than its factorization.

54601975553760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124432 (or 124418 counting only the distinct ones).

The product of its (nonzero) digits is 119070000, while the sum is 63.

The spelling of 54601975553760 in words is "fifty-four trillion, six hundred one billion, nine hundred seventy-five million, five hundred fifty-three thousand, seven hundred sixty".