70978985118720 has 2112 divisors, whose sum is σ = 305117894016000. Its totient is φ = 14896859185152.

The previous prime is 70978985118683. The next prime is 70978985118721. The reversal of 70978985118720 is 2781158987907.

70978985118720 is a `hidden beast` number, since 7 + 0 + 9 + 7 + 8 + 9 + 8 + 511 + 87 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (70978985118721) 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, 26396051136 + ... + 26396053824.

Almost surely, 2^{70978985118720} is an apocalyptic number.

70978985118720 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 70978985118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152558947008000).

70978985118720 is an abundant number, since it is smaller than the sum of its proper divisors (234138908897280).

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

70978985118720 is a wasteful number, since it uses less digits than its factorization.

70978985118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 72.

The spelling of 70978985118720 in words is "seventy trillion, nine hundred seventy-eight billion, nine hundred eighty-five million, one hundred eighteen thousand, seven hundred twenty".