1207516315320 has 384 divisors, whose sum is σ = 4723774848000. Its totient is φ = 261330001920.

The previous prime is 1207516315307. The next prime is 1207516315351. The reversal of 1207516315320 is 235136157021.

1207516315320 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 5 + 16 + 315 + 320 = 666.

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 95 ways as a sum of consecutive naturals, for example, 99632221 + ... + 99644339.

It is an arithmetic number, because the mean of its divisors is an integer number (12301497000).

Almost surely, 2^{1207516315320} is an apocalyptic number.

1207516315320 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 1207516315320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361887424000).

1207516315320 is an abundant number, since it is smaller than the sum of its proper divisors (3516258532680).

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

1207516315320 is a wasteful number, since it uses less digits than its factorization.

1207516315320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14243 (or 14236 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 1207516315320 in words is "one trillion, two hundred seven billion, five hundred sixteen million, three hundred fifteen thousand, three hundred twenty".