54580477952 has 276 divisors, whose sum is σ = 147371047776. Its totient is φ = 19629342720.

The previous prime is 54580477891. The next prime is 54580477979. The reversal of 54580477952 is 25977408545.

It is a super-2 number, since 2×54580477952² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4198498298 + ... + 4198498310.

Almost surely, 2^54580477952 is an apocalyptic number.

54580477952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

54580477952 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54580477952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73685523888).

54580477952 is an abundant number, since it is smaller than the sum of its proper divisors (92790569824).

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

54580477952 is an frugal number, since it uses more digits than its factorization.

54580477952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 56.

The spelling of 54580477952 in words is "fifty-four billion, five hundred eighty million, four hundred seventy-seven thousand, nine hundred fifty-two".