54867259861632 has 256 divisors, whose sum is σ = 166082724000000. Its totient is φ = 17825166028800.

The previous prime is 54867259861501. The next prime is 54867259861633. The reversal of 54867259861632 is 23616895276845.

54867259861632 is a `hidden beast` number, since 5 + 486 + 7 + 2 + 5 + 9 + 86 + 1 + 63 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (54867259861633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26666494 + ... + 28650242.

It is an arithmetic number, because the mean of its divisors is an integer number (648760640625).

Almost surely, 2^{54867259861632} 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 54867259861632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83041362000000).

54867259861632 is an abundant number, since it is smaller than the sum of its proper divisors (111215464138368).

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

54867259861632 is a wasteful number, since it uses less digits than its factorization.

54867259861632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983976 (or 1983958 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 54867259861632 in words is "fifty-four trillion, eight hundred sixty-seven billion, two hundred fifty-nine million, eight hundred sixty-one thousand, six hundred thirty-two".