61550077811040 has 2016 divisors, whose sum is σ = 275576487784416. Its totient is φ = 12869710479360.

The previous prime is 61550077811011. The next prime is 61550077811083. The reversal of 61550077811040 is 4011877005516.

61550077811040 is a `hidden beast` number, since 6 + 1 + 550 + 0 + 7 + 7 + 81 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 8395860175 + ... + 8395867505.

It is an arithmetic number, because the mean of its divisors is an integer number (136694686401).

Almost surely, 2^{61550077811040} is an apocalyptic number.

61550077811040 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 61550077811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137788243892208).

61550077811040 is an abundant number, since it is smaller than the sum of its proper divisors (214026409973376).

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

61550077811040 is a wasteful number, since it uses less digits than its factorization.

61550077811040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7504 (or 7474 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 61550077811040 in words is "sixty-one trillion, five hundred fifty billion, seventy-seven million, eight hundred eleven thousand, forty".