11621621140800 has 672 divisors, whose sum is σ = 42759505787904. Its totient is φ = 2739566592000.

The previous prime is 11621621140799. The next prime is 11621621140861. The reversal of 11621621140800 is 804112612611.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273641167 + ... + 273683633.

Almost surely, 2^{11621621140800} is an apocalyptic number.

11621621140800 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 11621621140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21379752893952).

11621621140800 is an abundant number, since it is smaller than the sum of its proper divisors (31137884647104).

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

11621621140800 is a wasteful number, since it uses less digits than its factorization.

11621621140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42647 (or 42632 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 11621621140800 in words is "eleven trillion, six hundred twenty-one billion, six hundred twenty-one million, one hundred forty thousand, eight hundred".