10901381621760 has 384 divisors, whose sum is σ = 44286870700800. Its totient is φ = 2491743928320.

The previous prime is 10901381621719. The next prime is 10901381621777. The reversal of 10901381621760 is 6712618310901.

10901381621760 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 13 + 8 + 1 + 621 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 881011 + ... + 4751730.

It is an arithmetic number, because the mean of its divisors is an integer number (115330392450).

Almost surely, 2^{10901381621760} is an apocalyptic number.

10901381621760 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 10901381621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22143435350400).

10901381621760 is an abundant number, since it is smaller than the sum of its proper divisors (33385489079040).

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

10901381621760 is an equidigital number, since it uses as much as digits as its factorization.

10901381621760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632784 (or 5632758 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 10901381621760 in words is "ten trillion, nine hundred one billion, three hundred eighty-one million, six hundred twenty-one thousand, seven hundred sixty".