98720951472 has 640 divisors, whose sum is σ = 344017981440. Its totient is φ = 26930534400.

The previous prime is 98720951471. The next prime is 98720951503. The reversal of 98720951472 is 27415902789.

98720951472 is a `hidden beast` number, since 9 + 87 + 2 + 0 + 95 + 1 + 472 = 666.

It is a super-3 number, since 3×98720951472³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (98720951471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 351319972 + ... + 351320252.

It is an arithmetic number, because the mean of its divisors is an integer number (537528096).

Almost surely, 2^98720951472 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 98720951472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172008990720).

98720951472 is an abundant number, since it is smaller than the sum of its proper divisors (245297029968).

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

98720951472 is a wasteful number, since it uses less digits than its factorization.

98720951472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 98720951472 in words is "ninety-eight billion, seven hundred twenty million, nine hundred fifty-one thousand, four hundred seventy-two".