56029026067200 has 2160 divisors, whose sum is σ = 224697138462720. Its totient is φ = 13730032189440.

The previous prime is 56029026067193. The next prime is 56029026067337. The reversal of 56029026067200 is 276062092065.

56029026067200 is a `hidden beast` number, since 560 + 2 + 9 + 0 + 2 + 6 + 0 + 67 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 58792261924 + ... + 58792262876.

It is an arithmetic number, because the mean of its divisors is an integer number (104026452992).

Almost surely, 2^{56029026067200} is an apocalyptic number.

56029026067200 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 56029026067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112348569231360).

56029026067200 is an abundant number, since it is smaller than the sum of its proper divisors (168668112395520).

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

56029026067200 is a wasteful number, since it uses less digits than its factorization.

56029026067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 56029026067200 in words is "fifty-six trillion, twenty-nine billion, twenty-six million, sixty-seven thousand, two hundred".