61450522160400 has 960 divisors, whose sum is σ = 230396070215680. Its totient is φ = 15536448000000.

The previous prime is 61450522160393. The next prime is 61450522160483. The reversal of 61450522160400 is 406122505416.

61450522160400 is a `hidden beast` number, since 6 + 1 + 45 + 0 + 5 + 2 + 2 + 1 + 604 + 0 + 0 = 666.

It is a super-2 number, since 2×61450522160400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3690492075 + ... + 3690508725.

Almost surely, 2^{61450522160400} is an apocalyptic number.

61450522160400 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 61450522160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115198035107840).

61450522160400 is an abundant number, since it is smaller than the sum of its proper divisors (168945548055280).

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

61450522160400 is a wasteful number, since it uses less digits than its factorization.

61450522160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16933 (or 16916 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 61450522160400 its reverse (406122505416), we get a palindrome (61856644665816).

The spelling of 61450522160400 in words is "sixty-one trillion, four hundred fifty billion, five hundred twenty-two million, one hundred sixty thousand, four hundred".