56266628011776 has 1296 divisors, whose sum is σ = 215206925606400. Its totient is φ = 13729781366784.

The previous prime is 56266628011771. The next prime is 56266628011777. The reversal of 56266628011776 is 67711082666265.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56266628011771) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7365702165 + ... + 7365709803.

Almost surely, 2^{56266628011776} is an apocalyptic number.

56266628011776 is a gapful number since it is divisible by the number (56) 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 56266628011776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107603462803200).

56266628011776 is an abundant number, since it is smaller than the sum of its proper divisors (158940297594624).

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

56266628011776 is a wasteful number, since it uses less digits than its factorization.

56266628011776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7786 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 56266628011776 in words is "fifty-six trillion, two hundred sixty-six billion, six hundred twenty-eight million, eleven thousand, seven hundred seventy-six".