61210025395200 has 1056 divisors, whose sum is σ = 245497080752640. Its totient is φ = 14821724160000.

The previous prime is 61210025395187. The next prime is 61210025395217. The reversal of 61210025395200 is 259352001216.

It is a happy number.

61210025395200 is a `hidden beast` number, since 6 + 1 + 2 + 100 + 25 + 3 + 9 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 7382703055 + ... + 7382711345.

Almost surely, 2^{61210025395200} is an apocalyptic number.

61210025395200 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 61210025395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122748540376320).

61210025395200 is an abundant number, since it is smaller than the sum of its proper divisors (184287055357440).

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

61210025395200 is a wasteful number, since it uses less digits than its factorization.

61210025395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9312 (or 9283 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 61210025395200 its reverse (259352001216), we get a palindrome (61469377396416).

The spelling of 61210025395200 in words is "sixty-one trillion, two hundred ten billion, twenty-five million, three hundred ninety-five thousand, two hundred".