107697153356928 has 640 divisors, whose sum is σ = 339397940376000. Its totient is φ = 33806116454400.

The previous prime is 107697153356899. The next prime is 107697153356959. The reversal of 107697153356928 is 829653351796701.

107697153356928 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 9 + 7 + 1 + 5 + 33 + 569 + 28 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30431519383 + ... + 30431522921.

Almost surely, 2^{107697153356928} is an apocalyptic number.

107697153356928 is a gapful number since it is divisible by the number (18) 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 107697153356928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169698970188000).

107697153356928 is an abundant number, since it is smaller than the sum of its proper divisors (231700787019072).

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

107697153356928 is a wasteful number, since it uses less digits than its factorization.

107697153356928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 107697153356928 in words is "one hundred seven trillion, six hundred ninety-seven billion, one hundred fifty-three million, three hundred fifty-six thousand, nine hundred twenty-eight".