21612514301040 has 80 divisors (see below), whose sum is σ = 72152547753888. Its totient is φ = 5320003519488.

The previous prime is 21612514301029. The next prime is 21612514301089. The reversal of 21612514301040 is 4010341521612.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21612514300989 and 21612514301007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3463540839 + ... + 3463547078.

Almost surely, 2^{21612514301040} is an apocalyptic number.

21612514301040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21612514301040 is an abundant number, since it is smaller than the sum of its proper divisors (50540033452848).

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

21612514301040 is a wasteful number, since it uses less digits than its factorization.

21612514301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6927087946 (or 6927087940 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 21612514301040 its reverse (4010341521612), we get a palindrome (25622855822652).

The spelling of 21612514301040 in words is "twenty-one trillion, six hundred twelve billion, five hundred fourteen million, three hundred one thousand, forty".