55097952 has 288 divisors, whose sum is σ = 195465312. Its totient is φ = 13418496.

The previous prime is 55097947. The next prime is 55097957. The reversal of 55097952 is 25979055.

It is an interprime number because it is at equal distance from previous prime (55097947) and next prime (55097957).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55097957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1039558 + ... + 1039610.

It is an arithmetic number, because the mean of its divisors is an integer number (678699).

Almost surely, 2^55097952 is an apocalyptic number.

55097952 is a gapful number since it is divisible by the number (52) 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 55097952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97732656).

55097952 is an abundant number, since it is smaller than the sum of its proper divisors (140367360).

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

55097952 is a wasteful number, since it uses less digits than its factorization.

55097952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 42.

The square root of 55097952 is about 7422.7994718974. The cubic root of 55097952 is about 380.5208738821.

The spelling of 55097952 in words is "fifty-five million, ninety-seven thousand, nine hundred fifty-two".