97877270937600 has 4860 divisors, whose sum is σ = 467984976370912. Its totient is φ = 19865154355200.

The previous prime is 97877270937527. The next prime is 97877270937673. The reversal of 97877270937600 is 673907277879.

97877270937600 is a `hidden beast` number, since 9 + 7 + 8 + 7 + 7 + 2 + 7 + 0 + 9 + 3 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (97877270937527) and next prime (97877270937673).

It is a tau number, because it is divible by the number of its divisors (4860).

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 323 ways as a sum of consecutive naturals, for example, 2276215603179 + ... + 2276215603221.

Almost surely, 2^{97877270937600} is an apocalyptic number.

97877270937600 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 97877270937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233992488185456).

97877270937600 is an abundant number, since it is smaller than the sum of its proper divisors (370107705433312).

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

97877270937600 is an frugal number, since it uses more digits than its factorization.

97877270937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 392073696, while the sum is 72.

The spelling of 97877270937600 in words is "ninety-seven trillion, eight hundred seventy-seven billion, two hundred seventy million, nine hundred thirty-seven thousand, six hundred".