61252806700800 has 2592 divisors, whose sum is σ = 271036762536960. Its totient is φ = 13411978444800.

The previous prime is 61252806700769. The next prime is 61252806700801. The reversal of 61252806700800 is 800760825216.

61252806700800 is a `hidden beast` number, since 61 + 2 + 528 + 0 + 67 + 0 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61252806700801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15098052372 + ... + 15098056428.

Almost surely, 2^{61252806700800} is an apocalyptic number.

61252806700800 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 61252806700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135518381268480).

61252806700800 is an abundant number, since it is smaller than the sum of its proper divisors (209783955836160).

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

61252806700800 is a wasteful number, since it uses less digits than its factorization.

61252806700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 61252806700800 in words is "sixty-one trillion, two hundred fifty-two billion, eight hundred six million, seven hundred thousand, eight hundred".