10216012800 has 528 divisors, whose sum is σ = 39897700352. Its totient is φ = 2256076800.

The previous prime is 10216012789. The next prime is 10216012843. The reversal of 10216012800 is 821061201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16665294 + ... + 16665906.

Almost surely, 2^10216012800 is an apocalyptic number.

10216012800 is a gapful number since it is divisible by the number (10) 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 10216012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948850176).

10216012800 is an abundant number, since it is smaller than the sum of its proper divisors (29681687552).

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

10216012800 is a wasteful number, since it uses less digits than its factorization.

10216012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

It can be divided in two parts, 102160 and 12800, that added together give a triangular number (114960 = T₄₇₉).

The spelling of 10216012800 in words is "ten billion, two hundred sixteen million, twelve thousand, eight hundred".