97124835939840 has 1920 divisors, whose sum is σ = 380940488248320. Its totient is φ = 23620582637568.

The previous prime is 97124835939811. The next prime is 97124835939853. The reversal of 97124835939840 is 4893953842179.

97124835939840 is a `hidden beast` number, since 9 + 7 + 1 + 2 + 483 + 59 + 3 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62299444981 + ... + 62299446539.

It is an arithmetic number, because the mean of its divisors is an integer number (198406504296).

Almost surely, 2^{97124835939840} is an apocalyptic number.

97124835939840 is a gapful number since it is divisible by the number (90) 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 97124835939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190470244124160).

97124835939840 is an abundant number, since it is smaller than the sum of its proper divisors (283815652308480).

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

97124835939840 is a wasteful number, since it uses less digits than its factorization.

97124835939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 97124835939840 in words is "ninety-seven trillion, one hundred twenty-four billion, eight hundred thirty-five million, nine hundred thirty-nine thousand, eight hundred forty".