56402772249600 has 2640 divisors, whose sum is σ = 244604743342080. Its totient is φ = 12576964608000.

The previous prime is 56402772249583. The next prime is 56402772249617. The reversal of 56402772249600 is 694227720465.

It is a happy number.

56402772249600 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 2 + 7 + 7 + 2 + 24 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (56402772249583) and next prime (56402772249617).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 115816780557 + ... + 115816781043.

It is an arithmetic number, because the mean of its divisors is an integer number (92653311872).

Almost surely, 2^{56402772249600} is an apocalyptic number.

56402772249600 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 56402772249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122302371671040).

56402772249600 is an abundant number, since it is smaller than the sum of its proper divisors (188201971092480).

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

56402772249600 is a wasteful number, since it uses less digits than its factorization.

56402772249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 56402772249600 in words is "fifty-six trillion, four hundred two billion, seven hundred seventy-two million, two hundred forty-nine thousand, six hundred".