61051136400 has 480 divisors, whose sum is σ = 225815011200. Its totient is φ = 15647385600.

The previous prime is 61051136353. The next prime is 61051136411. The reversal of 61051136400 is 463115016.

61051136400 is a `hidden beast` number, since 6 + 1 + 0 + 5 + 1 + 13 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124340155 + ... + 124340645.

It is an arithmetic number, because the mean of its divisors is an integer number (470447940).

Almost surely, 2^61051136400 is an apocalyptic number.

61051136400 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 61051136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112907505600).

61051136400 is an abundant number, since it is smaller than the sum of its proper divisors (164763874800).

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

61051136400 is a wasteful number, since it uses less digits than its factorization.

61051136400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 61051136400 in words is "sixty-one billion, fifty-one million, one hundred thirty-six thousand, four hundred".