10802377800 has 576 divisors, whose sum is σ = 41225932800. Its totient is φ = 2520460800.

The previous prime is 10802377793. The next prime is 10802377837. The reversal of 10802377800 is 877320801.

It is a super-2 number, since 2×10802377800² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24384379 + ... + 24384821.

It is an arithmetic number, because the mean of its divisors is an integer number (71572800).

Almost surely, 2^10802377800 is an apocalyptic number.

10802377800 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 10802377800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20612966400).

10802377800 is an abundant number, since it is smaller than the sum of its proper divisors (30423555000).

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

10802377800 is a wasteful number, since it uses less digits than its factorization.

10802377800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10802377800 in words is "ten billion, eight hundred two million, three hundred seventy-seven thousand, eight hundred".