208151150400 has 504 divisors, whose sum is σ = 755628095040. Its totient is φ = 54329425920.

The previous prime is 208151150377. The next prime is 208151150429. The reversal of 208151150400 is 4051151802.

208151150400 is a `hidden beast` number, since 2 + 0 + 8 + 151 + 1 + 504 + 0 + 0 = 666.

208151150400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 286314837 + ... + 286315563.

Almost surely, 2^208151150400 is an apocalyptic number.

208151150400 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 208151150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377814047520).

208151150400 is an abundant number, since it is smaller than the sum of its proper divisors (547476944640).

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

208151150400 is a wasteful number, since it uses less digits than its factorization.

208151150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

It can be divided in two parts, 20815 and 1150400, that added together give a triangular number (1171215 = T₁₅₃₀).

The spelling of 208151150400 in words is "two hundred eight billion, one hundred fifty-one million, one hundred fifty thousand, four hundred".