21106612151040 has 432 divisors, whose sum is σ = 73037812458240. Its totient is φ = 5192315781120.

The previous prime is 21106612150913. The next prime is 21106612151143. The reversal of 21106612151040 is 4015121660112.

It is a super-3 number, since 3×21106612151040³ (a number of 41 digits) contains 333 as substring.

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 = 21106612150989 and 21106612151007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175257581 + ... + 1175275539.

It is an arithmetic number, because the mean of its divisors is an integer number (169069010320).

Almost surely, 2^{21106612151040} is an apocalyptic number.

21106612151040 is a gapful number since it is divisible by the number (20) 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 21106612151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36518906229120).

21106612151040 is an abundant number, since it is smaller than the sum of its proper divisors (51931200307200).

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

21106612151040 is a wasteful number, since it uses less digits than its factorization.

21106612151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19820 (or 19793 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 21106612151040 in words is "twenty-one trillion, one hundred six billion, six hundred twelve million, one hundred fifty-one thousand, forty".