10997065377900 has 576 divisors, whose sum is σ = 44640802805760. Its totient is φ = 2262894796800.

The previous prime is 10997065377871. The next prime is 10997065377937. The reversal of 10997065377900 is 977356079901.

10997065377900 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 7 + 0 + 6 + 537 + 7 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6645840 + ... + 8133960.

It is an arithmetic number, because the mean of its divisors is an integer number (77501393760).

Almost surely, 2^{10997065377900} is an apocalyptic number.

10997065377900 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 10997065377900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320401402880).

10997065377900 is an abundant number, since it is smaller than the sum of its proper divisors (33643737427860).

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

10997065377900 is a wasteful number, since it uses less digits than its factorization.

10997065377900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488191 (or 1488178 counting only the distinct ones).

The product of its (nonzero) digits is 22504230, while the sum is 63.

The spelling of 10997065377900 in words is "ten trillion, nine hundred ninety-seven billion, sixty-five million, three hundred seventy-seven thousand, nine hundred".