712254958560 has 384 divisors, whose sum is σ = 2560778478720. Its totient is φ = 184788172800.

The previous prime is 712254958537. The next prime is 712254958589. The reversal of 712254958560 is 65859452217.

712254958560 is a `hidden beast` number, since 7 + 1 + 2 + 2 + 54 + 9 + 585 + 6 + 0 = 666.

712254958560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 712254958497 and 712254958506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66060370 + ... + 66071150.

It is an arithmetic number, because the mean of its divisors is an integer number (6668693955).

Almost surely, 2^712254958560 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 712254958560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280389239360).

712254958560 is an abundant number, since it is smaller than the sum of its proper divisors (1848523520160).

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

712254958560 is a wasteful number, since it uses less digits than its factorization.

712254958560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11219 (or 11205 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 712254958560 in words is "seven hundred twelve billion, two hundred fifty-four million, nine hundred fifty-eight thousand, five hundred sixty".