12621692160 has 1728 divisors, whose sum is σ = 61711663104. Its totient is φ = 2388787200.

The previous prime is 12621692137. The next prime is 12621692173. The reversal of 12621692160 is 6129612621.

12621692160 is a `hidden beast` number, since 1 + 2 + 621 + 6 + 9 + 21 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×12621692160² (a number of 21 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 191 ways as a sum of consecutive naturals, for example, 407151345 + ... + 407151375.

It is an arithmetic number, because the mean of its divisors is an integer number (35712768).

Almost surely, 2^12621692160 is an apocalyptic number.

12621692160 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 12621692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30855831552).

12621692160 is an abundant number, since it is smaller than the sum of its proper divisors (49089970944).

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

12621692160 is a wasteful number, since it uses less digits than its factorization.

12621692160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12621692160 in words is "twelve billion, six hundred twenty-one million, six hundred ninety-two thousand, one hundred sixty".