61385558400 has 480 divisors, whose sum is σ = 239868497880. Its totient is φ = 15405465600.

The previous prime is 61385558389. The next prime is 61385558401. The reversal of 61385558400 is 485558316.

61385558400 is a `hidden beast` number, since 6 + 13 + 8 + 55 + 584 + 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 (61385558401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4399435 + ... + 4413365.

Almost surely, 2^61385558400 is an apocalyptic number.

61385558400 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 61385558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119934248940).

61385558400 is an abundant number, since it is smaller than the sum of its proper divisors (178482939480).

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

61385558400 is a wasteful number, since it uses less digits than its factorization.

61385558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13984 (or 13958 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 61385558400 in words is "sixty-one billion, three hundred eighty-five million, five hundred fifty-eight thousand, four hundred".