54577050840 has 768 divisors, whose sum is σ = 208510848000. Its totient is φ = 12267417600.

The previous prime is 54577050839. The next prime is 54577050841. The reversal of 54577050840 is 4805077545.

54577050840 is a `hidden beast` number, since 5 + 457 + 70 + 50 + 84 + 0 = 666.

54577050840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54577050839) and next prime (54577050841).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54577050841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 529874229 + ... + 529874331.

It is an arithmetic number, because the mean of its divisors is an integer number (271498500).

Almost surely, 2^54577050840 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 54577050840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104255424000).

54577050840 is an abundant number, since it is smaller than the sum of its proper divisors (153933797160).

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

54577050840 is a wasteful number, since it uses less digits than its factorization.

54577050840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 54577050840 in words is "fifty-four billion, five hundred seventy-seven million, fifty thousand, eight hundred forty".