61150118400 has 1440 divisors, whose sum is σ = 274182986880. Its totient is φ = 13284311040.

The previous prime is 61150118399. The next prime is 61150118401. The reversal of 61150118400 is 481105116.

61150118400 is a `hidden beast` number, since 611 + 5 + 0 + 1 + 1 + 8 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61150118399) and next prime (61150118401).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61150118401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 389491122 + ... + 389491278.

It is an arithmetic number, because the mean of its divisors is an integer number (190404852).

Almost surely, 2^61150118400 is an apocalyptic number.

61150118400 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 61150118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137091493440).

61150118400 is an abundant number, since it is smaller than the sum of its proper divisors (213032868480).

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

61150118400 is a wasteful number, since it uses less digits than its factorization.

61150118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 61150118400 in words is "sixty-one billion, one hundred fifty million, one hundred eighteen thousand, four hundred".