55881252000 has 1152 divisors, whose sum is σ = 241774460928. Its totient is φ = 12410496000.

The previous prime is 55881251999. The next prime is 55881252001. The reversal of 55881252000 is 25218855.

55881252000 is a `hidden beast` number, since 5 + 58 + 81 + 2 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55881251999) and next prime (55881252001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55881252001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 292571905 + ... + 292572095.

It is an arithmetic number, because the mean of its divisors is an integer number (209873664).

Almost surely, 2^55881252000 is an apocalyptic number.

55881252000 is a gapful number since it is divisible by the number (50) 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 55881252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120887230464).

55881252000 is an abundant number, since it is smaller than the sum of its proper divisors (185893208928).

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

55881252000 is a wasteful number, since it uses less digits than its factorization.

55881252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 55881252000 in words is "fifty-five billion, eight hundred eighty-one million, two hundred fifty-two thousand".