1015238702016 has 2520 divisors, whose sum is σ = 4277778175440. Its totient is φ = 236051988480.

The previous prime is 1015238701979. The next prime is 1015238702021. The reversal of 1015238702016 is 6102078325101.

1015238702016 is a `hidden beast` number, since 101 + 523 + 8 + 7 + 0 + 20 + 1 + 6 = 666.

It is a super-2 number, since 2×1015238702016² (a number of 25 digits) contains 22 as substring.

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 359 ways as a sum of consecutive naturals, for example, 15152816415 + ... + 15152816481.

It is an arithmetic number, because the mean of its divisors is an integer number (1697531022).

Almost surely, 2^{1015238702016} is an apocalyptic number.

1015238702016 is a gapful number since it is divisible by the number (16) 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 1015238702016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138889087720).

1015238702016 is an abundant number, since it is smaller than the sum of its proper divisors (3262539473424).

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

1015238702016 is a wasteful number, since it uses less digits than its factorization.

1015238702016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1015238702016 in words is "one trillion, fifteen billion, two hundred thirty-eight million, seven hundred two thousand, sixteen".