100079540487360 has 1120 divisors, whose sum is σ = 408968299745280. Its totient is φ = 22756930560000.

The previous prime is 100079540487323. The next prime is 100079540487457. The reversal of 100079540487360 is 63784045970001.

100079540487360 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 7 + 95 + 40 + 487 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×100079540487360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 100079540487297 and 100079540487306.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51296534385 + ... + 51296536335.

Almost surely, 2^{100079540487360} is an apocalyptic number.

100079540487360 is a gapful number since it is divisible by the number (10) 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 100079540487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204484149872640).

100079540487360 is an abundant number, since it is smaller than the sum of its proper divisors (308888759257920).

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

100079540487360 is a wasteful number, since it uses less digits than its factorization.

100079540487360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 100079540487360 in words is "one hundred trillion, seventy-nine billion, five hundred forty million, four hundred eighty-seven thousand, three hundred sixty".