55735614000 has 400 divisors, whose sum is σ = 219630112416. Its totient is φ = 13511232000.

The previous prime is 55735613981. The next prime is 55735614001. The reversal of 55735614000 is 41653755.

55735614000 is a `hidden beast` number, since 5 + 5 + 7 + 35 + 614 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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 (55735614001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1766362 + ... + 1797638.

Almost surely, 2^55735614000 is an apocalyptic number.

55735614000 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 55735614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109815056208).

55735614000 is an abundant number, since it is smaller than the sum of its proper divisors (163894498416).

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

55735614000 is a wasteful number, since it uses less digits than its factorization.

55735614000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31323 (or 31298 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 55735614000 in words is "fifty-five billion, seven hundred thirty-five million, six hundred fourteen thousand".