54111564 has 120 divisors (see below), whose sum is σ = 157948560. Its totient is φ = 16039296.

The previous prime is 54111557. The next prime is 54111611. The reversal of 54111564 is 46511145.

54111564 is a `hidden beast` number, since 541 + 115 + 6 + 4 = 666.

It is a super-2 number, since 2×54111564² = 5856122717052192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121927 + ... + 122369.

It is an arithmetic number, because the mean of its divisors is an integer number (1316238).

Almost surely, 2^54111564 is an apocalyptic number.

54111564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54111564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78974280).

54111564 is an abundant number, since it is smaller than the sum of its proper divisors (103836996).

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

54111564 is a wasteful number, since it uses less digits than its factorization.

54111564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 490 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 54111564 is about 7356.0562803720. The cubic root of 54111564 is about 378.2364356031.

The spelling of 54111564 in words is "fifty-four million, one hundred eleven thousand, five hundred sixty-four".