5061098211840 has 1920 divisors, whose sum is σ = 21534233149440. Its totient is φ = 1116005990400.

The previous prime is 5061098211839. The next prime is 5061098211847. The reversal of 5061098211840 is 481128901605.

It is a happy number.

5061098211840 is a `hidden beast` number, since 5 + 0 + 610 + 9 + 8 + 21 + 1 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×5061098211840² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5061098211847) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6811706509 + ... + 6811707251.

It is an arithmetic number, because the mean of its divisors is an integer number (11215746432).

Almost surely, 2^{5061098211840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5061098211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10767116574720).

5061098211840 is an abundant number, since it is smaller than the sum of its proper divisors (16473134937600).

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

5061098211840 is a wasteful number, since it uses less digits than its factorization.

5061098211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 5061098211840 in words is "five trillion, sixty-one billion, ninety-eight million, two hundred eleven thousand, eight hundred forty".