107607458957040 has 360 divisors, whose sum is σ = 427507953565680. Its totient is φ = 24179108954112.

The previous prime is 107607458957023. The next prime is 107607458957107. The reversal of 107607458957040 is 40759854706701.

107607458957040 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 0 + 7 + 4 + 58 + 9 + 570 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 23766769 + ... + 27929808.

It is an arithmetic number, because the mean of its divisors is an integer number (1187522093238).

Almost surely, 2^{107607458957040} is an apocalyptic number.

107607458957040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107607458957040 is an abundant number, since it is smaller than the sum of its proper divisors (319900494608640).

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

107607458957040 is a wasteful number, since it uses less digits than its factorization.

107607458957040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51696669 (or 51696653 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 107607458957040 in words is "one hundred seven trillion, six hundred seven billion, four hundred fifty-eight million, nine hundred fifty-seven thousand, forty".