12516523463400 has 384 divisors, whose sum is σ = 43741743206400. Its totient is φ = 2933222400000.

The previous prime is 12516523463341. The next prime is 12516523463401. The reversal of 12516523463400 is 436432561521.

It is a super-2 number, since 2×12516523463400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12516523463401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190040475 + ... + 190106325.

It is an arithmetic number, because the mean of its divisors is an integer number (113910789600).

Almost surely, 2^{12516523463400} is an apocalyptic number.

12516523463400 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 12516523463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21870871603200).

12516523463400 is an abundant number, since it is smaller than the sum of its proper divisors (31225219743000).

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

12516523463400 is a wasteful number, since it uses less digits than its factorization.

12516523463400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66841 (or 66832 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 12516523463400 in words is "twelve trillion, five hundred sixteen billion, five hundred twenty-three million, four hundred sixty-three thousand, four hundred".