11907897601600 has 2016 divisors, whose sum is σ = 43414933516416. Its totient is φ = 3147359846400.

The previous prime is 11907897601577. The next prime is 11907897601603. The reversal of 11907897601600 is 610679870911.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (11907897601603) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8195386474 + ... + 8195387926.

It is an arithmetic number, because the mean of its divisors is an integer number (21535185276).

Almost surely, 2^{11907897601600} is an apocalyptic number.

11907897601600 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 11907897601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21707466758208).

11907897601600 is an abundant number, since it is smaller than the sum of its proper divisors (31507035914816).

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

11907897601600 is a wasteful number, since it uses less digits than its factorization.

11907897601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 55.

The spelling of 11907897601600 in words is "eleven trillion, nine hundred seven billion, eight hundred ninety-seven million, six hundred one thousand, six hundred".