100440552778500 has 384 divisors, whose sum is σ = 339329701122048. Its totient is φ = 22815947520000.

The previous prime is 100440552778487. The next prime is 100440552778543. The reversal of 100440552778500 is 5877255044001.

It is a self number, because there is not a number n which added to its sum of digits gives 100440552778500.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62884785 + ... + 64462215.

It is an arithmetic number, because the mean of its divisors is an integer number (883671096672).

Almost surely, 2^{100440552778500} is an apocalyptic number.

100440552778500 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 100440552778500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169664850561024).

100440552778500 is an abundant number, since it is smaller than the sum of its proper divisors (238889148343548).

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

100440552778500 is a wasteful number, since it uses less digits than its factorization.

100440552778500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577708 (or 1577696 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 48.

The spelling of 100440552778500 in words is "one hundred trillion, four hundred forty billion, five hundred fifty-two million, seven hundred seventy-eight thousand, five hundred".