150827881311828 has 1344 divisors, whose sum is σ = 496247434547200. Its totient is φ = 39998375424000.

The previous prime is 150827881311781. The next prime is 150827881311857. The reversal of 150827881311828 is 828113188728051.

150827881311828 is a `hidden beast` number, since 1 + 50 + 8 + 278 + 8 + 131 + 182 + 8 = 666.

It is a super-3 number, since 3×150827881311828³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 83746740528 + ... + 83746742328.

Almost surely, 2^{150827881311828} is an apocalyptic number.

150827881311828 is a gapful number since it is divisible by the number (18) 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 150827881311828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248123717273600).

150827881311828 is an abundant number, since it is smaller than the sum of its proper divisors (345419553235372).

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

150827881311828 is a wasteful number, since it uses less digits than its factorization.

150827881311828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 63.

The spelling of 150827881311828 in words is "one hundred fifty trillion, eight hundred twenty-seven billion, eight hundred eighty-one million, three hundred eleven thousand, eight hundred twenty-eight".