55135537200 has 360 divisors, whose sum is σ = 198074416176. Its totient is φ = 14192640000.

The previous prime is 55135537189. The next prime is 55135537211. The reversal of 55135537200 is 273553155.

55135537200 is a `hidden beast` number, since 551 + 3 + 55 + 37 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55135537189) and next prime (55135537211).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14315275 + ... + 14319125.

Almost surely, 2^55135537200 is an apocalyptic number.

55135537200 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 55135537200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99037208088).

55135537200 is an abundant number, since it is smaller than the sum of its proper divisors (142938878976).

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

55135537200 is a wasteful number, since it uses less digits than its factorization.

55135537200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The spelling of 55135537200 in words is "fifty-five billion, one hundred thirty-five million, five hundred thirty-seven thousand, two hundred".