97748595252000 has 6912 divisors, whose sum is σ = 495273413246976. Its totient is φ = 17682001920000.

The previous prime is 97748595251953. The next prime is 97748595252001. The reversal of 97748595252000 is 25259584779.

97748595252000 is a `hidden beast` number, since 9 + 7 + 7 + 4 + 8 + 59 + 52 + 520 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (97748595252001) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 713493395932 + ... + 713493396068.

It is an arithmetic number, because the mean of its divisors is an integer number (71654139648).

Almost surely, 2^{97748595252000} is an apocalyptic number.

97748595252000 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 97748595252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247636706623488).

97748595252000 is an abundant number, since it is smaller than the sum of its proper divisors (397524817994976).

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

97748595252000 is a wasteful number, since it uses less digits than its factorization.

97748595252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 97748595252000 in words is "ninety-seven trillion, seven hundred forty-eight billion, five hundred ninety-five million, two hundred fifty-two thousand".