10211556451320 has 768 divisors, whose sum is σ = 39161911726080. Its totient is φ = 2259518976000.

The previous prime is 10211556451249. The next prime is 10211556451357. The reversal of 10211556451320 is 2315465511201.

10211556451320 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 5 + 5 + 645 + 1 + 3 + 2 + 0 = 666.

It is a super-3 number, since 3×10211556451320³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 4465043217 + ... + 4465045503.

It is an arithmetic number, because the mean of its divisors is an integer number (50992072560).

Almost surely, 2^{10211556451320} is an apocalyptic number.

10211556451320 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 10211556451320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19580955863040).

10211556451320 is an abundant number, since it is smaller than the sum of its proper divisors (28950355274760).

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

10211556451320 is a wasteful number, since it uses less digits than its factorization.

10211556451320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10211556451320 in words is "ten trillion, two hundred eleven billion, five hundred fifty-six million, four hundred fifty-one thousand, three hundred twenty".