10621020291840 has 1728 divisors, whose sum is σ = 47305025550720. Its totient is φ = 2241425571840.

The previous prime is 10621020291793. The next prime is 10621020291859. The reversal of 10621020291840 is 4819202012601.

10621020291840 is a `hidden beast` number, since 1 + 0 + 621 + 0 + 2 + 0 + 29 + 1 + 8 + 4 + 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 2×10621020291840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10621020291795 and 10621020291804.

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, 1525785960 + ... + 1525792920.

It is an arithmetic number, because the mean of its divisors is an integer number (27375593490).

Almost surely, 2^{10621020291840} is an apocalyptic number.

10621020291840 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 10621020291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23652512775360).

10621020291840 is an abundant number, since it is smaller than the sum of its proper divisors (36684005258880).

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

10621020291840 is a wasteful number, since it uses less digits than its factorization.

10621020291840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7075 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10621020291840 in words is "ten trillion, six hundred twenty-one billion, twenty million, two hundred ninety-one thousand, eight hundred forty".