61099836628320 has 480 divisors, whose sum is σ = 260932250069568. Its totient is φ = 13144166203392.

The previous prime is 61099836628301. The next prime is 61099836628339. The reversal of 61099836628320 is 2382663899016.

61099836628320 is a `hidden beast` number, since 6 + 109 + 98 + 366 + 2 + 83 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61099836628301) and next prime (61099836628339).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18266557 + ... + 21351036.

Almost surely, 2^{61099836628320} is an apocalyptic number.

61099836628320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61099836628320 is an abundant number, since it is smaller than the sum of its proper divisors (199832413441248).

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

61099836628320 is a wasteful number, since it uses less digits than its factorization.

61099836628320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39617644 (or 39617627 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 61099836628320 in words is "sixty-one trillion, ninety-nine billion, eight hundred thirty-six million, six hundred twenty-eight thousand, three hundred twenty".