155006380800 has 648 divisors, whose sum is σ = 589825061280. Its totient is φ = 38702284800.

The previous prime is 155006380799. The next prime is 155006380883. The reversal of 155006380800 is 8083600551.

155006380800 is a `hidden beast` number, since 15 + 5 + 0 + 0 + 638 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304530946 + ... + 304531454.

It is an arithmetic number, because the mean of its divisors is an integer number (910223860).

Almost surely, 2^155006380800 is an apocalyptic number.

155006380800 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 155006380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294912530640).

155006380800 is an abundant number, since it is smaller than the sum of its proper divisors (434818680480).

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

155006380800 is a wasteful number, since it uses less digits than its factorization.

155006380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 155006380800 in words is "one hundred fifty-five billion, six million, three hundred eighty thousand, eight hundred".