1561625454200 has 192 divisors, whose sum is σ = 4213659951360. Its totient is φ = 527139486720.

The previous prime is 1561625454199. The next prime is 1561625454203. The reversal of 1561625454200 is 24545261651.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561625454203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246972239 + ... + 246978561.

It is an arithmetic number, because the mean of its divisors is an integer number (21946145580).

Almost surely, 2^{1561625454200} is an apocalyptic number.

1561625454200 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 1561625454200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106829975680).

1561625454200 is an abundant number, since it is smaller than the sum of its proper divisors (2652034497160).

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

1561625454200 is a wasteful number, since it uses less digits than its factorization.

1561625454200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9046 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 1561625454200 in words is "one trillion, five hundred sixty-one billion, six hundred twenty-five million, four hundred fifty-four thousand, two hundred".