55262120659200 has 3888 divisors, whose sum is σ = 259157289955200. Its totient is φ = 11640679464960.

The previous prime is 55262120659139. The next prime is 55262120659243. The reversal of 55262120659200 is 295602126255.

55262120659200 is a `hidden beast` number, since 5 + 5 + 262 + 120 + 65 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

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 431 ways as a sum of consecutive naturals, for example, 90150278094 + ... + 90150278706.

Almost surely, 2^{55262120659200} is an apocalyptic number.

55262120659200 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 55262120659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129578644977600).

55262120659200 is an abundant number, since it is smaller than the sum of its proper divisors (203895169296000).

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

55262120659200 is an equidigital number, since it uses as much as digits as its factorization.

55262120659200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 55262120659200 in words is "fifty-five trillion, two hundred sixty-two billion, one hundred twenty million, six hundred fifty-nine thousand, two hundred".