21176716601040 has 2560 divisors, whose sum is σ = 93302572253184. Its totient is φ = 3832517099520.

The previous prime is 21176716600979. The next prime is 21176716601101. The reversal of 21176716601040 is 4010661767112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21176716600979) and next prime (21176716601101).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 21176716600983 and 21176716601001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 72275483134 + ... + 72275483426.

Almost surely, 2^{21176716601040} is an apocalyptic number.

21176716601040 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 21176716601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46651286126592).

21176716601040 is an abundant number, since it is smaller than the sum of its proper divisors (72125855652144).

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

21176716601040 is a wasteful number, since it uses less digits than its factorization.

21176716601040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 21176716601040 in words is "twenty-one trillion, one hundred seventy-six billion, seven hundred sixteen million, six hundred one thousand, forty".