196120961078400 has 384 divisors, whose sum is σ = 718172725670400. Its totient is φ = 52267992698880.

The previous prime is 196120961078363. The next prime is 196120961078447. The reversal of 196120961078400 is 4870169021691.

196120961078400 is a `hidden beast` number, since 1 + 9 + 6 + 12 + 0 + 9 + 610 + 7 + 8 + 4 + 0 + 0 = 666.

196120961078400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145604817 + ... + 146945583.

It is an arithmetic number, because the mean of its divisors is an integer number (1870241473100).

Almost surely, 2^{196120961078400} is an apocalyptic number.

196120961078400 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 196120961078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359086362835200).

196120961078400 is an abundant number, since it is smaller than the sum of its proper divisors (522051764592000).

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

196120961078400 is a wasteful number, since it uses less digits than its factorization.

196120961078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342493 (or 1342470 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 196120961078400 in words is "one hundred ninety-six trillion, one hundred twenty billion, nine hundred sixty-one million, seventy-eight thousand, four hundred".