10016271962400 has 288 divisors, whose sum is σ = 35966507371200. Its totient is φ = 2400903577600.

The previous prime is 10016271962357. The next prime is 10016271962401. The reversal of 10016271962400 is 426917261001.

It is not an unprimeable number, because it can be changed into a prime (10016271962401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218116 + ... + 4481084.

It is an arithmetic number, because the mean of its divisors is an integer number (124883706150).

Almost surely, 2^{10016271962400} is an apocalyptic number.

10016271962400 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 10016271962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17983253685600).

10016271962400 is an abundant number, since it is smaller than the sum of its proper divisors (25950235408800).

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

10016271962400 is a wasteful number, since it uses less digits than its factorization.

10016271962400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263092 (or 4263079 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 10016271962400 in words is "ten trillion, sixteen billion, two hundred seventy-one million, nine hundred sixty-two thousand, four hundred".