212510456928 has 360 divisors, whose sum is σ = 785116187856. Its totient is φ = 55196951040.

The previous prime is 212510456867. The next prime is 212510456947. The reversal of 212510456928 is 829654015212.

212510456928 is a `hidden beast` number, since 2 + 1 + 2 + 510 + 45 + 6 + 92 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2147026 + ... + 2243822.

Almost surely, 2^212510456928 is an apocalyptic number.

212510456928 is a gapful number since it is divisible by the number (28) 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 212510456928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392558093928).

212510456928 is an abundant number, since it is smaller than the sum of its proper divisors (572605730928).

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

212510456928 is a wasteful number, since it uses less digits than its factorization.

212510456928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96848 (or 96820 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 212510456928 in words is "two hundred twelve billion, five hundred ten million, four hundred fifty-six thousand, nine hundred twenty-eight".