61226919600 has 720 divisors, whose sum is σ = 250799781120. Its totient is φ = 12494592000.

The previous prime is 61226919557. The next prime is 61226919643. The reversal of 61226919600 is 691962216.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61226919557) and next prime (61226919643).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59967090 + ... + 59968110.

Almost surely, 2^61226919600 is an apocalyptic number.

61226919600 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 61226919600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125399890560).

61226919600 is an abundant number, since it is smaller than the sum of its proper divisors (189572861520).

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

61226919600 is a wasteful number, since it uses less digits than its factorization.

61226919600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 61226919600 in words is "sixty-one billion, two hundred twenty-six million, nine hundred nineteen thousand, six hundred".