55637002137600 has 2340 divisors, whose sum is σ = 235023538985400. Its totient is φ = 12968247951360.

The previous prime is 55637002137583. The next prime is 55637002137653. The reversal of 55637002137600 is 673120073655.

55637002137600 is a `hidden beast` number, since 5 + 5 + 6 + 3 + 7 + 0 + 0 + 2 + 1 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2340).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 26633317356 + ... + 26633319444.

Almost surely, 2^{55637002137600} is an apocalyptic number.

55637002137600 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 55637002137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117511769492700).

55637002137600 is an abundant number, since it is smaller than the sum of its proper divisors (179386536847800).

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

55637002137600 is a wasteful number, since it uses less digits than its factorization.

55637002137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 55637002137600 in words is "fifty-five trillion, six hundred thirty-seven billion, two million, one hundred thirty-seven thousand, six hundred".