56542211736 has 128 divisors (see below), whose sum is σ = 151166545920. Its totient is φ = 17585276544.

The previous prime is 56542211729. The next prime is 56542211743. The reversal of 56542211736 is 63711224565.

56542211736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56542211729) and next prime (56542211743).

It is a super-2 number, since 2×56542211736² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3801931 + ... + 3816773.

It is an arithmetic number, because the mean of its divisors is an integer number (1180988640).

Almost surely, 2^56542211736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56542211736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75583272960).

56542211736 is an abundant number, since it is smaller than the sum of its proper divisors (94624334184).

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

56542211736 is a wasteful number, since it uses less digits than its factorization.

56542211736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15045 (or 15041 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

It can be divided in two parts, 56542 and 211736, that added together give a triangular number (268278 = T₇₃₂).

The spelling of 56542211736 in words is "fifty-six billion, five hundred forty-two million, two hundred eleven thousand, seven hundred thirty-six".