150315421697280 has 1440 divisors, whose sum is σ = 636157532989440. Its totient is φ = 33163771576320.

The previous prime is 150315421697227. The next prime is 150315421697291. The reversal of 150315421697280 is 82796124513051.

150315421697280 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 1 + 542 + 1 + 6 + 97 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×150315421697280² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8931919906 + ... + 8931936734.

It is an arithmetic number, because the mean of its divisors is an integer number (441776064576).

It is a 1-persistent number, because it is pandigital, but 2⋅150315421697280 = 300630843394560 is not.

Almost surely, 2^{150315421697280} is an apocalyptic number.

150315421697280 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 150315421697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318078766494720).

150315421697280 is an abundant number, since it is smaller than the sum of its proper divisors (485842111292160).

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

150315421697280 is a wasteful number, since it uses less digits than its factorization.

150315421697280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17297 (or 17274 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 150315421697280 in words is "one hundred fifty trillion, three hundred fifteen billion, four hundred twenty-one million, six hundred ninety-seven thousand, two hundred eighty".