61563294950400 has 792 divisors, whose sum is σ = 242036501484960. Its totient is φ = 15451153367040.

The previous prime is 61563294950387. The next prime is 61563294950407. The reversal of 61563294950400 is 405949236516.

61563294950400 is a `hidden beast` number, since 6 + 1 + 5 + 63 + 2 + 94 + 95 + 0 + 400 = 666.

61563294950400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61563294950400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (61563294950407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105462531 + ... + 106044669.

Almost surely, 2^{61563294950400} is an apocalyptic number.

61563294950400 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 61563294950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121018250742480).

61563294950400 is an abundant number, since it is smaller than the sum of its proper divisors (180473206534560).

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

61563294950400 is a wasteful number, since it uses less digits than its factorization.

61563294950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582201 (or 582166 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 61563294950400 in words is "sixty-one trillion, five hundred sixty-three billion, two hundred ninety-four million, nine hundred fifty thousand, four hundred".