54145232461020 has 96 divisors (see below), whose sum is σ = 153662447877120. Its totient is φ = 14243264006400.

The previous prime is 54145232460961. The next prime is 54145232461027. The reversal of 54145232461020 is 2016423254145.

It is a self number, because there is not a number n which added to its sum of digits gives 54145232461020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54145232461027) 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, 237070 + ... + 10408970.

It is an arithmetic number, because the mean of its divisors is an integer number (1600650498720).

Almost surely, 2^{54145232461020} 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 54145232461020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76831223938560).

54145232461020 is an abundant number, since it is smaller than the sum of its proper divisors (99517215416100).

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

54145232461020 is a wasteful number, since it uses less digits than its factorization.

54145232461020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10173115 (or 10173113 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 54145232461020 in words is "fifty-four trillion, one hundred forty-five billion, two hundred thirty-two million, four hundred sixty-one thousand, twenty".