61523125453200 has 240 divisors, whose sum is σ = 208862957915136. Its totient is φ = 15426965299200.

The previous prime is 61523125453091. The next prime is 61523125453213. The reversal of 61523125453200 is 235452132516.

It is a tau number, because it is divible by the number of its divisors (240).

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, 20917585 + ... + 23676815.

Almost surely, 2^{61523125453200} is an apocalyptic number.

61523125453200 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 61523125453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104431478957568).

61523125453200 is an abundant number, since it is smaller than the sum of its proper divisors (147339832461936).

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

61523125453200 is a wasteful number, since it uses less digits than its factorization.

61523125453200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760362 (or 2760351 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

Adding to 61523125453200 its reverse (235452132516), we get a palindrome (61758577585716).

The spelling of 61523125453200 in words is "sixty-one trillion, five hundred twenty-three billion, one hundred twenty-five million, four hundred fifty-three thousand, two hundred".