10162013229400 has 192 divisors, whose sum is σ = 24471383731200. Its totient is φ = 3921385789440.

The previous prime is 10162013229383. The next prime is 10162013229409. The reversal of 10162013229400 is 492231026101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10162013229409) 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, 2621100262 + ... + 2621104138.

It is an arithmetic number, because the mean of its divisors is an integer number (127455123600).

Almost surely, 2^{10162013229400} is an apocalyptic number.

10162013229400 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 10162013229400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12235691865600).

10162013229400 is an abundant number, since it is smaller than the sum of its proper divisors (14309370501800).

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

10162013229400 is a wasteful number, since it uses less digits than its factorization.

10162013229400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6846 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 10162013229400 in words is "ten trillion, one hundred sixty-two billion, thirteen million, two hundred twenty-nine thousand, four hundred".