190420635525120 has 3360 divisors, whose sum is σ = 933048315150336. Its totient is φ = 36519778713600.

The previous prime is 190420635525097. The next prime is 190420635525137. The reversal of 190420635525120 is 21525536024091.

190420635525120 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 2 + 0 + 635 + 5 + 2 + 5 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23247540225 + ... + 23247548415.

Almost surely, 2^{190420635525120} is an apocalyptic number.

190420635525120 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 190420635525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466524157575168).

190420635525120 is an abundant number, since it is smaller than the sum of its proper divisors (742627679625216).

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

190420635525120 is a wasteful number, since it uses less digits than its factorization.

190420635525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 190420635525120 in words is "one hundred ninety trillion, four hundred twenty billion, six hundred thirty-five million, five hundred twenty-five thousand, one hundred twenty".