52779090672 has 960 divisors, whose sum is σ = 202995007488. Its totient is φ = 12984364800.

The previous prime is 52779090671. The next prime is 52779090673. The reversal of 52779090672 is 27609097725.

It is an interprime number because it is at equal distance from previous prime (52779090671) and next prime (52779090673).

It is a super-3 number, since 3×52779090672³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52779090671) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1122959353 + ... + 1122959399.

Almost surely, 2^52779090672 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 52779090672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101497503744).

52779090672 is an abundant number, since it is smaller than the sum of its proper divisors (150215916816).

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

52779090672 is a wasteful number, since it uses less digits than its factorization.

52779090672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 52779090672 in words is "fifty-two billion, seven hundred seventy-nine million, ninety thousand, six hundred seventy-two".