206148789504000 has 3072 divisors, whose sum is σ = 920469911961600. Its totient is φ = 45051332198400.

The previous prime is 206148789503953. The next prime is 206148789504061. The reversal of 206148789504000 is 405987841602.

It is a happy number.

206148789504000 is a `hidden beast` number, since 2 + 0 + 6 + 148 + 7 + 8 + 95 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 90139390857 + ... + 90139393143.

It is an arithmetic number, because the mean of its divisors is an integer number (299632132800).

Almost surely, 2^{206148789504000} is an apocalyptic number.

206148789504000 is a gapful number since it is divisible by the number (20) 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 206148789504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460234955980800).

206148789504000 is an abundant number, since it is smaller than the sum of its proper divisors (714321122457600).

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

206148789504000 is an frugal number, since it uses more digits than its factorization.

206148789504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2327 counting only the distinct ones).

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

The spelling of 206148789504000 in words is "two hundred six trillion, one hundred forty-eight billion, seven hundred eighty-nine million, five hundred four thousand".