55729877299200 has 2496 divisors, whose sum is σ = 235248665344000. Its totient is φ = 12819187630080.

The previous prime is 55729877299199. The next prime is 55729877299231. The reversal of 55729877299200 is 299277892755.

55729877299200 is a `hidden beast` number, since 5 + 57 + 2 + 9 + 87 + 7 + 299 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53949541884 + ... + 53949542916.

Almost surely, 2^{55729877299200} is an apocalyptic number.

55729877299200 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 55729877299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117624332672000).

55729877299200 is an abundant number, since it is smaller than the sum of its proper divisors (179518788044800).

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

55729877299200 is a wasteful number, since it uses less digits than its factorization.

55729877299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 400075200, while the sum is 72.

The spelling of 55729877299200 in words is "fifty-five trillion, seven hundred twenty-nine billion, eight hundred seventy-seven million, two hundred ninety-nine thousand, two hundred".