97456128000 has 1024 divisors, whose sum is σ = 408284098560. Its totient is φ = 20054016000.

The previous prime is 97456127969. The next prime is 97456128001. The reversal of 97456128000 is 82165479.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (97456128001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 946175949 + ... + 946176051.

It is an arithmetic number, because the mean of its divisors is an integer number (398714940).

Almost surely, 2^97456128000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97456128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204142049280).

97456128000 is an abundant number, since it is smaller than the sum of its proper divisors (310827970560).

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

97456128000 is a wasteful number, since it uses less digits than its factorization.

97456128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

It can be divided in two parts, 97456 and 128000, that added together give a triangular number (225456 = T₆₇₁).

The spelling of 97456128000 in words is "ninety-seven billion, four hundred fifty-six million, one hundred twenty-eight thousand".