11355630737500 has 144 divisors (see below), whose sum is σ = 28668344233536. Its totient is φ = 3854808000000.

The previous prime is 11355630737467. The next prime is 11355630737501. The reversal of 11355630737500 is 573703655311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355630737501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8195032 + ... + 9479968.

It is an arithmetic number, because the mean of its divisors is an integer number (199085723844).

Almost surely, 2^{11355630737500} is an apocalyptic number.

11355630737500 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 11355630737500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14334172116768).

11355630737500 is an abundant number, since it is smaller than the sum of its proper divisors (17312713496036).

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

11355630737500 is a wasteful number, since it uses less digits than its factorization.

11355630737500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285074 (or 1285052 counting only the distinct ones).

The product of its (nonzero) digits is 992250, while the sum is 46.

The spelling of 11355630737500 in words is "eleven trillion, three hundred fifty-five billion, six hundred thirty million, seven hundred thirty-seven thousand, five hundred".