61103242166400 has 1920 divisors, whose sum is σ = 262801661760000. Its totient is φ = 13692329164800.

The previous prime is 61103242166389. The next prime is 61103242166413. The reversal of 61103242166400 is 466124230116.

61103242166400 is a `hidden beast` number, since 6 + 1 + 1 + 0 + 3 + 2 + 4 + 2 + 1 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21357300970 + ... + 21357303830.

It is an arithmetic number, because the mean of its divisors is an integer number (136875865500).

Almost surely, 2^{61103242166400} is an apocalyptic number.

61103242166400 is a gapful number since it is divisible by the number (60) 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 61103242166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131400830880000).

61103242166400 is an abundant number, since it is smaller than the sum of its proper divisors (201698419593600).

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

61103242166400 is a wasteful number, since it uses less digits than its factorization.

61103242166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 61103242166400 its reverse (466124230116), we get a palindrome (61569366396516).

The spelling of 61103242166400 in words is "sixty-one trillion, one hundred three billion, two hundred forty-two million, one hundred sixty-six thousand, four hundred".