807820966149120 has 2112 divisors, whose sum is σ = 3735766744399872. Its totient is φ = 162443501568000.

The previous prime is 807820966149101. The next prime is 807820966149139. The reversal of 807820966149120 is 21941669028708.

807820966149120 is a `hidden beast` number, since 8 + 0 + 7 + 8 + 2 + 0 + 9 + 6 + 614 + 9 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (807820966149101) and next prime (807820966149139).

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2969673915 + ... + 2969945925.

Almost surely, 2^{807820966149120} is an apocalyptic number.

807820966149120 is a gapful number since it is divisible by the number (80) 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 807820966149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867883372199936).

807820966149120 is an abundant number, since it is smaller than the sum of its proper divisors (2927945778250752).

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

807820966149120 is a wasteful number, since it uses less digits than its factorization.

807820966149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272100 (or 272070 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 807820966149120 in words is "eight hundred seven trillion, eight hundred twenty billion, nine hundred sixty-six million, one hundred forty-nine thousand, one hundred twenty".