190485413272800 has 792 divisors, whose sum is σ = 698381084812320. Its totient is φ = 50734144972800.

The previous prime is 190485413272787. The next prime is 190485413272807. The reversal of 190485413272800 is 8272314584091.

190485413272800 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 85 + 413 + 2 + 72 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190485413272807) by changing a digit.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 49081526860 + ... + 49081530740.

Almost surely, 2^{190485413272800} is an apocalyptic number.

190485413272800 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 190485413272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349190542406160).

190485413272800 is an abundant number, since it is smaller than the sum of its proper divisors (507895671539520).

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

190485413272800 is an equidigital number, since it uses as much as digits as its factorization.

190485413272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 190485413272800 in words is "one hundred ninety trillion, four hundred eighty-five billion, four hundred thirteen million, two hundred seventy-two thousand, eight hundred".