61258636800 has 480 divisors, whose sum is σ = 226481560800. Its totient is φ = 16217210880.

The previous prime is 61258636781. The next prime is 61258636807. The reversal of 61258636800 is 863685216.

61258636800 is a `hidden beast` number, since 6 + 1 + 2 + 5 + 8 + 636 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (61258636807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54258636 + ... + 54259764.

It is an arithmetic number, because the mean of its divisors is an integer number (471836585).

Almost surely, 2^61258636800 is an apocalyptic number.

61258636800 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 61258636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113240780400).

61258636800 is an abundant number, since it is smaller than the sum of its proper divisors (165222924000).

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

61258636800 is a wasteful number, since it uses less digits than its factorization.

61258636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 61258636800 in words is "sixty-one billion, two hundred fifty-eight million, six hundred thirty-six thousand, eight hundred".