10216550400 has 312 divisors, whose sum is σ = 38612242944. Its totient is φ = 2334720000.

The previous prime is 10216550359. The next prime is 10216550429. The reversal of 10216550400 is 405561201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2148025 + ... + 2152775.

Almost surely, 2^10216550400 is an apocalyptic number.

10216550400 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 10216550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19306121472).

10216550400 is an abundant number, since it is smaller than the sum of its proper divisors (28395692544).

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

10216550400 is an equidigital number, since it uses as much as digits as its factorization.

10216550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4795 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 10216550400 in words is "ten billion, two hundred sixteen million, five hundred fifty thousand, four hundred".