10076220806400 has 1728 divisors, whose sum is σ = 44226409328640. Its totient is φ = 2194830950400.

The previous prime is 10076220806383. The next prime is 10076220806401. The reversal of 10076220806400 is 460802267001.

10076220806400 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 6 + 2 + 2 + 0 + 8 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (10076220806401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10377157915 + ... + 10377158885.

It is an arithmetic number, because the mean of its divisors is an integer number (25593986880).

Almost surely, 2^{10076220806400} is an apocalyptic number.

10076220806400 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 10076220806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22113204664320).

10076220806400 is an abundant number, since it is smaller than the sum of its proper divisors (34150188522240).

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

10076220806400 is a wasteful number, since it uses less digits than its factorization.

10076220806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10076220806400 in words is "ten trillion, seventy-six billion, two hundred twenty million, eight hundred six thousand, four hundred".