96951962800 has 240 divisors, whose sum is σ = 291582837504. Its totient is φ = 30096000000.

The previous prime is 96951962797. The next prime is 96951962837. The reversal of 96951962800 is 826915969.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7724530 + ... + 7737070.

Almost surely, 2^96951962800 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 96951962800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145791418752).

96951962800 is an abundant number, since it is smaller than the sum of its proper divisors (194630874704).

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

96951962800 is a wasteful number, since it uses less digits than its factorization.

96951962800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12828 (or 12817 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 55.

The spelling of 96951962800 in words is "ninety-six billion, nine hundred fifty-one million, nine hundred sixty-two thousand, eight hundred".