97772400000 has 768 divisors, whose sum is σ = 393949785600. Its totient is φ = 23673600000.

The previous prime is 97772399993. The next prime is 97772400017. The reversal of 97772400000 is 427779.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118799589 + ... + 118800411.

It is an arithmetic number, because the mean of its divisors is an integer number (512955450).

Almost surely, 2^97772400000 is an apocalyptic number.

97772400000 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 97772400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196974892800).

97772400000 is an abundant number, since it is smaller than the sum of its proper divisors (296177385600).

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

97772400000 is an equidigital number, since it uses as much as digits as its factorization.

97772400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

Adding to 97772400000 its reverse (427779), we get a palindrome (97772827779).

The spelling of 97772400000 in words is "ninety-seven billion, seven hundred seventy-two million, four hundred thousand".