1970157381696 has 672 divisors, whose sum is σ = 6994238284800. Its totient is φ = 528172646400.

The previous prime is 1970157381667. The next prime is 1970157381727. The reversal of 1970157381696 is 6961837510791.

1970157381696 is a `hidden beast` number, since 19 + 7 + 0 + 157 + 381 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 95 ways as a sum of consecutive naturals, for example, 1447580056 + ... + 1447581416.

Almost surely, 2^{1970157381696} is an apocalyptic number.

1970157381696 is a gapful number since it is divisible by the number (16) 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 1970157381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497119142400).

1970157381696 is an abundant number, since it is smaller than the sum of its proper divisors (5024080903104).

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

1970157381696 is a wasteful number, since it uses less digits than its factorization.

1970157381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 1970157381696 in words is "one trillion, nine hundred seventy billion, one hundred fifty-seven million, three hundred eighty-one thousand, six hundred ninety-six".