1015164645120 has 288 divisors, whose sum is σ = 3814334072640. Its totient is φ = 254786273280.

The previous prime is 1015164645083. The next prime is 1015164645133. The reversal of 1015164645120 is 215464615101.

1015164645120 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 1 + 6 + 4 + 645 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276421 + ... + 1451460.

It is an arithmetic number, because the mean of its divisors is an integer number (13244215530).

Almost surely, 2^{1015164645120} is an apocalyptic number.

1015164645120 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 1015164645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907167036320).

1015164645120 is an abundant number, since it is smaller than the sum of its proper divisors (2799169427520).

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

1015164645120 is a wasteful number, since it uses less digits than its factorization.

1015164645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727928 (or 1727908 counting only the distinct ones).

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

The spelling of 1015164645120 in words is "one trillion, fifteen billion, one hundred sixty-four million, six hundred forty-five thousand, one hundred twenty".