10162196352400 has 135 divisors (see below), whose sum is σ = 25770362329251. Its totient is φ = 3850478519040.

The previous prime is 10162196352397. The next prime is 10162196352439. The reversal of 10162196352400 is 425369126101.

The square root of 10162196352400 is 3187820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 723636046224 + 9438560306176 = 850668^2 + 3072224^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1211367406 + ... + 1211375794.

Almost surely, 2^{10162196352400} is an apocalyptic number.

10162196352400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10162196352400 is the 3187820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10162196352400

10162196352400 is an abundant number, since it is smaller than the sum of its proper divisors (15608165976851).

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

10162196352400 is an frugal number, since it uses more digits than its factorization.

10162196352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16834 (or 8415 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 10162196352400 in words is "ten trillion, one hundred sixty-two billion, one hundred ninety-six million, three hundred fifty-two thousand, four hundred".