11361857888550 has 288 divisors, whose sum is σ = 32166366533280. Its totient is φ = 2637959270400.

The previous prime is 11361857888533. The next prime is 11361857888551. The reversal of 11361857888550 is 5588875816311.

It is a super-2 number, since 2×11361857888550² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11361857888551) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161169310 + ... + 161239790.

It is an arithmetic number, because the mean of its divisors is an integer number (111688772685).

Almost surely, 2^{11361857888550} is an apocalyptic number.

11361857888550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11361857888550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16083183266640).

11361857888550 is an abundant number, since it is smaller than the sum of its proper divisors (20804508644730).

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

11361857888550 is a wasteful number, since it uses less digits than its factorization.

11361857888550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70776 (or 70752 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 66.

The spelling of 11361857888550 in words is "eleven trillion, three hundred sixty-one billion, eight hundred fifty-seven million, eight hundred eighty-eight thousand, five hundred fifty".