97873542540 has 192 divisors, whose sum is σ = 310523713920. Its totient is φ = 25907516928.

The previous prime is 97873542527. The next prime is 97873542551. The reversal of 97873542540 is 4524537879.

It is a happy number.

97873542540 is a `hidden beast` number, since 97 + 8 + 7 + 3 + 5 + 4 + 2 + 540 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5984214 + ... + 6000546.

It is an arithmetic number, because the mean of its divisors is an integer number (1617311010).

Almost surely, 2^97873542540 is an apocalyptic number.

97873542540 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 97873542540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155261856960).

97873542540 is an abundant number, since it is smaller than the sum of its proper divisors (212650171380).

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

97873542540 is a wasteful number, since it uses less digits than its factorization.

97873542540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16500 (or 16480 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 97873542540 in words is "ninety-seven billion, eight hundred seventy-three million, five hundred forty-two thousand, five hundred forty".