196461158400 has 840 divisors, whose sum is σ = 784627218144. Its totient is φ = 48306585600.

The previous prime is 196461158381. The next prime is 196461158429. The reversal of 196461158400 is 4851164691.

196461158400 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 61 + 1 + 584 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 215653945 + ... + 215654855.

Almost surely, 2^196461158400 is an apocalyptic number.

196461158400 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 196461158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392313609072).

196461158400 is an abundant number, since it is smaller than the sum of its proper divisors (588166059744).

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

196461158400 is an equidigital number, since it uses as much as digits as its factorization.

196461158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 196461158400 in words is "one hundred ninety-six billion, four hundred sixty-one million, one hundred fifty-eight thousand, four hundred".