55152213900 has 288 divisors, whose sum is σ = 192907653120. Its totient is φ = 11884320000.

The previous prime is 55152213899. The next prime is 55152213901. The reversal of 55152213900 is 931225155.

It is an interprime number because it is at equal distance from previous prime (55152213899) and next prime (55152213901).

It is not an unprimeable number, because it can be changed into a prime (55152213901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8415625 + ... + 8422175.

It is an arithmetic number, because the mean of its divisors is an integer number (669818240).

Almost surely, 2^55152213900 is an apocalyptic number.

55152213900 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 55152213900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96453826560).

55152213900 is an abundant number, since it is smaller than the sum of its proper divisors (137755439220).

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

55152213900 is a wasteful number, since it uses less digits than its factorization.

55152213900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6805 (or 6798 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 55152213900 in words is "fifty-five billion, one hundred fifty-two million, two hundred thirteen thousand, nine hundred".