70380119890080 has 3072 divisors, whose sum is σ = 350542080000000. Its totient is φ = 12700942663680.

The previous prime is 70380119890079. The next prime is 70380119890081. The reversal of 70380119890080 is 8009891108307.

70380119890080 is a `hidden beast` number, since 7 + 0 + 380 + 11 + 98 + 90 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (70380119890079) and next prime (70380119890081).

It is a super-2 number, since 2×70380119890080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 70380119889999 and 70380119890026.

It is not an unprimeable number, because it can be changed into a prime (70380119890081) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 12242147046 + ... + 12242152794.

It is an arithmetic number, because the mean of its divisors is an integer number (114108750000).

Almost surely, 2^{70380119890080} is an apocalyptic number.

70380119890080 is a gapful number since it is divisible by the number (70) 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 70380119890080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175271040000000).

70380119890080 is an abundant number, since it is smaller than the sum of its proper divisors (280161960109920).

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

70380119890080 is a wasteful number, since it uses less digits than its factorization.

70380119890080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 70380119890080 in words is "seventy trillion, three hundred eighty billion, one hundred nineteen million, eight hundred ninety thousand, eighty".