11621130354072 has 384 divisors, whose sum is σ = 35791531776000. Its totient is φ = 3518829112320.

The previous prime is 11621130354061. The next prime is 11621130354073. The reversal of 11621130354072 is 27045303112611.

11621130354072 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 11 + 30 + 3 + 540 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11621130354073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124760188 + ... + 124853300.

It is an arithmetic number, because the mean of its divisors is an integer number (93207114000).

Almost surely, 2^{11621130354072} is an apocalyptic number.

11621130354072 is a gapful number since it is divisible by the number (12) 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 11621130354072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17895765888000).

11621130354072 is an abundant number, since it is smaller than the sum of its proper divisors (24170401421928).

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

11621130354072 is a wasteful number, since it uses less digits than its factorization.

11621130354072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93293 (or 93277 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 11621130354072 its reverse (27045303112611), we get a palindrome (38666433466683).

The spelling of 11621130354072 in words is "eleven trillion, six hundred twenty-one billion, one hundred thirty million, three hundred fifty-four thousand, seventy-two".