54577152042 has 128 divisors (see below), whose sum is σ = 134527979520. Its totient is φ = 14423270400.

The previous prime is 54577152041. The next prime is 54577152059. The reversal of 54577152042 is 24025177545.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 54577151985 and 54577152003.

It is not an unprimeable number, because it can be changed into a prime (54577152041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4188834 + ... + 4201842.

It is an arithmetic number, because the mean of its divisors is an integer number (1050999840).

Almost surely, 2^54577152042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54577152042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67263989760).

54577152042 is an abundant number, since it is smaller than the sum of its proper divisors (79950827478).

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

54577152042 is a wasteful number, since it uses less digits than its factorization.

54577152042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13188.

The product of its (nonzero) digits is 392000, while the sum is 42.

The spelling of 54577152042 in words is "fifty-four billion, five hundred seventy-seven million, one hundred fifty-two thousand, forty-two".